Odds - House Edge - Payout % (Playtech
Casinos) - Better Odds than Las Vegas!
Playtech has been providing a safe and secure casino software
platform for the biggest casino brands since 1998. Part of
Playtech’s popularity is due to the use of a unified platform which
means all of its online gaming activities are easily incorporated as
independent applications. Playtech’s main goal is to provide a total
online gaming solution to players and provide them with all the
elements necessary for success in their time spent at the online casino.
They are dedicated to staying on top by continually improving performance
and operation of their software.
There are many different types of transactions players can utilize within
the Playtech system. The information is always available online and
in real time. This up to the minute information allows for greater
confidence in the casino. Players have excess to view playing
histories, including graphs of each hand played, and financial information
history in their account for up to three months. If there is ever a
question, a customer service representative is always on call to respond.
The Playtech platform is supervised by accredited accounting firms,
including the backend operations, the casino clients, and each and
every game. The monthly payout ratio has been tested and is shown to produce
the top average payouts known in the industry today.
A great deal of resources have been allocated for security. Playtech
devotes a lot of time, money and energy to make sure the servers it uses
utilize maximum security measures to make the information entrusted to them
by their player’s remain safe and uncompromised. Playtech uses 128 bit
encrypted communications for safe information transfer and they are carried
out through secure channels. Playtech also utilizes a backend permission
based accounting system to keep the database secured at all times.
Playtech Casino's Odds & House Edge:
Playtech offers downloadable casino software. The graphics are
very good and the interface is easy to understand. Both multi-player
and single player are supported. Separate accounts are available for
both real players (money) and fun players (free). The multi-player
feature is available in fun mode (Note: Live games and
Progressive Jackpots can be played in
"real players mode" only).There is a comp point system equivalent to 0.1% cash back.
Following
are playtech games odds and casino house edge:
On any level the following are the probabilities of each outcome.
No strikes 18.95%
One strike 38.21%
Two strikes 42.84%
Following is the expected return according to various stopping points:
Play to end of level 1 only: 85.58%.
Play to end of level 2 only: 81.35%.
Play to end of level 3 only: 85.04%
Play to end of level 4: 96.95%.
The above table shows the optimal strategy is to play to the end or lose
trying. With this strategy the return is 96.95%. In other words the house
edge is 3.05%.
The game of baccarat is played with 6 decks of cards at Playtech's
casinos. The following return tables show the possible outcomes of
the banker, player, and tie bets for a 6-deck game. As the lower left
cells in each table show, the house edge is 1.06% on the banker bet,
1.24% on the player bet, and 14.44% on the tie.
Banker Bet — 6 Decks
Event
Pays
Combinations
Probability
Return
Banker wins
0.95
403095751234560
0.458653
0.43572
Player wins
-1
392220492728832
0.446279
-0.446279
Tie
0
83552962932288
0.095069
0
Total
878869206895680
1
-0.010558
Player Bet — 6 Decks
Event
Pays
Combinations
Probability
Return
Banker wins
-1
403095751234560
0.458653
-0.458653
Player wins
1
392220492728832
0.446279
0.446279
Tie
0
83552962932288
0.095069
0
Total
878869206895680
1
-0.012374
Tie Bet — 6 Decks
Event
Pays
Combinations
Probability
Return
Banker wins
-1
403095751234560
0.458653
-0.458653
Player wins
-1
392220492728832
0.446279
-0.446279
Tie
8
83552962932288
0.095069
0.76055
Total
878869206895680
1
-0.144382
Pair Bets — 6 Decks
Event
Pays
Combinations
Probability
Return
Pair
11
3588
0.079861
0.878472
No pair
-1
44928
1
-1
Total
48516
1.079861
-0.121528
9 to 1 Tie Bet
The tie has been known to pay 9 to 1 at some casinos. Playtech
online casinos still does pay 9 to 1. Here is the house edge on the
tie bet if it pays 9 to 1: (6 decks): 4.931%
Ties are common in all bingo games, including coveralls. The greater the
number of cards, and the easier the pattern is to cover, the more ties you
will see. The following table shows the averge number of people that will
call bingo accoring to the pattern and number of cards. HW stands for Hard
Way, meaning the player can not make use of the free square.
Expected Number of Players to Call
Bingo
Game
Cards
2000
4000
6000
8000
10000
Single Bingo
2.62
4.11
5.72
7.11
8.2
Double Bingo
1.3
1.34
1.37
1.39
1.42
Triple Bingo
1.27
1.31
1.33
1.34
1.33
Single HW Bingo
1.49
1.78
2.01
2.32
2.6
Double HW Bingo
1.27
1.3
1.33
1.35
1.4
Triple HW Bingo
1.26
1.27
1.29
1.31
1.31
Six Pack
1.96
2.54
3.08
3.68
4.21
Nine Pack
1.35
1.43
1.47
1.53
1.55
Coverall
1.32
1.34
1.34
1.35
1.38
A major frustration in bingo is having to share a jackpot. In my opinion,
many players would pay a premium to receive a jackpot in full, regardless of
the number of other players that bingo at the same time. The table above
could be used to base a fair premium for such jackpot-sharing insurance. For
example, in a coverall game with 10,000 cards, the expected number of
winners is 1.38. A fair premium for jackpot sharing insurance would be 38%
of the price per card.
Coverall Probabilities for Single Card
The next table shows the coverall probabilities for a single card. The
Density column is the probability of achieving a coverall in exactly the
given many balls drawn. The Distribution column is the probability of
achieving a coverall in the given number of balls drawn drawn or less. For
example, the probbility of getting a coverall in exactly 60 balls is
0.000559. The probability of getting a coverall in 60 balls or less is
0.001399.
Coverall Probabilities for Single
Card
Balls
Density
Distribution
24
0.00000000000000000004
0.00000000000000000004
25
0.00000000000000000093
0.00000000000000000097
26
0.00000000000000001164
0.00000000000000001261
27
0.00000000000000010086
0.00000000000000011347
28
0.00000000000000068079
0.00000000000000079426
29
0.00000000000000381245
0.00000000000000460671
30
0.00000000000001842684
0.00000000000002303355
31
0.00000000000007897218
0.00000000000010200573
32
0.00000000000030601718
0.00000000000040802291
33
0.00000000000108806109
0.00000000000149608400
34
0.00000000000359060160
0.00000000000508668560
35
0.00000000001109822313
0.00000000001618490874
36
0.00000000003236981747
0.00000000004855472621
37
0.00000000008963949453
0.00000000013819422074
38
0.00000000023690437841
0.00000000037509859915
39
0.00000000060015775864
0.00000000097525635779
40
0.00000000146288453669
0.00000000243814089448
41
0.00000000344208126279
0.00000000588022215727
42
0.00000000784029620969
0.00000001372051836696
43
0.00000001733118109511
0.00000003105169946207
44
0.00000003726203935449
0.00000006831373881656
45
0.00000007807284436178
0.00000014638658317834
46
0.00000015969445437637
0.00000030608103755472
47
0.00000031938890875275
0.00000062546994630747
48
0.00000062546994630747
0.00000125093989261493
49
0.00000120090229691033
0.00000245184218952526
50
0.00000226323894417717
0.00000471508113370243
51
0.00000419118322995771
0.00000890626436366014
52
0.00000763394088313726
0.00001654020524679740
53
0.00001368844572148750
0.00003022865096828490
54
0.00002418292077462790
0.00005441157174291290
55
0.00004212508780096470
0.00009653665954387760
56
0.00007240249465790830
0.00016893915420178600
57
0.00012286483941948100
0.00029180399362126600
58
0.00020597928961501200
0.00049778328323627800
59
0.00034133710850487700
0.00083912039174115500
60
0.00055941359449410300
0.00139853398623526000
61
0.00090715718026070800
0.00230569116649597000
62
0.00145622599989219000
0.00376191716638816000
63
0.00231502594854655000
0.00607694311493471000
64
0.00364616586896083000
0.00972310898389554000
65
0.00569157599057300000
0.01541468497446850000
66
0.00880839141398202000
0.02422307638845060000
67
0.01351985658890260000
0.03774293297735320000
68
0.02058705435128360000
0.05832998732863680000
69
0.03110932657527300000
0.08943931390390970000
70
0.04666398986290940000
0.13610330376681900000
71
0.06949955937029060000
0.20560286313711000000
72
0.10280143156855500000
0.30840429470566500000
73
0.15105516475379500000
0.45945945945945900000
74
0.22054054054054100000
0.68000000000000000000
75
0.32000000000000000000
1.00000000000000000000
The next table shows the probability that a coverall will be hit in
exactly the given number of balls and number of cards in play. For example,
the probability that with 6000 cards a coverall will be hit in exactly 50
balls is 0.012944. The last row shows the number of sessions in the sample
size.
To fully understand the game of blackjack, you must
understand and master blackjack odds. It's crucial to know how the casino
gains its edge and how it helps them win. It's also important to understand
blackjack odds such as the odds of hitting a 10 or the odds of being
dealt a
blackjack. You can check over these blackjack odds charts to help understand
the logistics behind blackjack.
Casino and Dealer Advantage in Blackjack
In most casino games of blackjack, the house advantage
(the dealer advantage) is +/- 8%. The house gets this advantage by the dealer
being the last player to act. By acting last, all other players have already
made their decisions and could quite possibly bust before the dealer has his
turn.
By using correct blackjack basic strategy, you can turn
the casino house edge in blackjack from 7%-8% down to 0.5%. If you correctly use
advanced card counting techniques, you can often change blackjack odds and
give yourself the advantage over the casino. Manipulating the house odds to
your favor is the reason most casinos don't allow card counters to play
blackjack.
Probability of Busting on a Hit
It's very important to know the probability of your hand
busting when you are holding any total in the game of blackjack. The following
odds chart shows the blackjack odds of busting, depending on your
current hand value:
Hand Value
% Bust If You Hit
21
100%
20
92%
19
85%
18
77%
17
69%
16
62%
15
58%
14
56%
13
39%
12
31%
11 or Less
0%
Two-Card Count Frequencies
This interesting blackjack odds chart is the two card
count frequency chart. This chart shows the percentage chance that you will
be dealt a hand in each given value range. The most important frequency to
note is the chance of being dealt a natural blackjack (natural 21 value. The
odds of being dealt a natural blackjack are merely 4.8%. Following this
chart you will see that the most common two card hand, at 38.7%, is a hand
totaling 1-16, which is considered a decision hand.
Two Card Count
% Frequency
Natural 21
4.8%
Hard Standing (17-20)
30.0 %
Decision Hands (1-16)
38.7%
No Bust
26.5%
TOTAL
100.0%
Dealer Final Hand Probabilities
This blackjack odds chart shows the dealer final hand probability. These are the percentages that the dealer will end up with a
hand totaling each corresponding value (up to 16). Read over this chart to
understand the odds that the dealer has to make his final hand.
Dealer Final Hand Value
%
Cumulative % Total
Natural 21
4.82%
4.83%
21 (3 or More Cards)
7.36%
12.19%
20
17.58%
29.77%
19
13.48%
43.25%
18
13.81%
57.06%
17
14.58%
71.64%
16
28.36%
100.00%
Player Advantage vs. Dealer Up Card
The first two columns in this odds chart explain the
dealer's chance of busting, depending on the up card that he is showing. You
should note that the dealer has the highest chance of busting when he is
showing a 5. The third column in this chart shows the player advantage of
using basic strategy, compared to each up card the dealer is showing. You
can see that the player has the highest advantage of 23.9%, when the dealer
is showing a 5. When the dealer is showing any card that is 9 value or
higher, the player is in the negative advantage range.
Dealer Up Card
Dealer Bust %
Player Advantage % with Basic Strategy
2
35.30%
9.8%
3
37.56%
13.4%
4
40.28%
18.0%
5
42.89%
23.2%
6
42.08%
23.9%
7
25.99%
14.3%
8
23.86%
5.4%
9
23.34%
-4.3%
J,Q,K
21.43%
-16.9%
A
11.65%
-16.0%
Effects of Removing Cards from a Deck
When looking at the odds of removing certain cards from a
52-card deck, some cards have a much greater effect on blackjack odds. To
create the strongest card counting system ever invented, you would have to
incorporate all of these differences into the numbers to
be a completely accurate system.
Removing every 5 from a deck cards would make the largest
impact of improving your blackjack odds, as a player. On the other hand,
removing every Ace from a deck of cards would make the largest impact on
improving the odds for the dealer.
Card
% Effect of Removal
2
0.40%
3
0.43%
4
0.52%
5
0.67%
6
0.45%
7
0.30%
8
0.01%
9
-0.15%
10
-0.51%
A
-0.59%
Insurance
Do not take insurance, even if you have a blackjack.
Card counters can
get away with making smart insurance bets when the deck is rich in tens but
the non-counting player should always decline it. The following table shows
the house edge on the insurance bet when 6 and 8 decks are used.
The house edge is 0.18% with eight decks and
0.16% with six decks.
The differences compared to conventional blackjack strategy is the push on 22 rule.
Playtech uses six decks and otherwise follows the "standard blackjack",
except the player may only split once per hand. The house edge is 0.17%.
Side Bet
There is also a Super Match side bet based on the player's initial four
cards. The following table shows the pay table, probability, and return of
each hand.
Super Match Side Bet
Hand
Combinations
Probability
Pays
Return
Pair
136401408
0.352205
1
0.352205
3 of a kind
7577856
0.019567
5
0.097835
2 pair
5941728
0.015342
8
0.122738
4 of a kind
138138
0.000357
40
0.014268
Nothing
237219840
0.61253
-1
-0.61253
Total
387278970
1
-0.025485
The lower right cell shows a house edge on the side bet of 2.55%.
As in slots or video poker once a wager is made it is never returned. So
all pays indicated are on a "for one" basis.
The player has five betting choices on the next frame of bowling: 0-3
total, 4-6 total, 7-9 total, spare, and strike. The player may bet any
number of these and in different amounts.
Following are probabilities of each outcome.
Strike: 3.4%
Spare: 8.56%
7 to 9: 17.04%
4 to 6: 28.4%
0 to 3: 42.6%
One frame out of three be a "Golden Frame." If the player throws a strike
in a Golden Frame (regardless of what he bet on) he will win a bonus of ten
times his bet.
The Caribbean Poker standard rules and pay table are used for a house edge of 5.22%. Side
bet progressive meter: suppose the progressive meter for the
side bet is at $10,286,house edge is 60.75%. For the side bet to have
no house edge the meter would need to reach +$218,048. For any given meter
the house edge on the side bet is 63.76% less 2.92% for each $10,000 in the
meter.
This is a poker based table game found in some
casinos in Europe, Africa, and Asia. It can also be found online, including
Playtech casinos. Playtech follows the Ante pay table number 3, with a house
edge of 2.16%. The side bet follows version, with a house edge of 6.26%.
Ante Pay Table
Hand
Pays
Combinations
Probability
Return
Player wins with royal flush
102
736259040
0.000026
0.0027
Player has royal flush, dealer doesn't qualify
100
119892960
0.000004
0.000431
Player wins with straight flush
22
6001122284
0.000216
0.004747
Player has straight flush, dealer doesn't qualify
20
1089672828
0.000039
0.000784
Player wins with four of a kind
12
41419896552
0.001489
0.01787
Player has four of a kind, dealer doesn't qualify
10
909499320
0.000033
0.000327
Player wins with full house
5
589505037660
0.021195
0.105973
Player wins with flush
4
505131419580
0.018161
0.072645
Player wins with straight or less
3
6426670016572
0.23106
0.693181
Player has full house, dealer doesn't qualify
3
24601676832
0.000885
0.002654
Player has flush, dealer doesn't qualify
2
168883536432
0.006072
0.012144
Player has straight or less, dealer doesn't qualify
1
5521376219148
0.198512
0.198512
Tie
0
678596916580
0.024398
0
Player folds
-1
5009067102600
0.180093
-0.180093
Player loses
-3
8839701755612
0.317817
-0.953451
Total
27813810024000
1
-0.021576
The only pay table fully analyzed is pay table 3, because it takes by
computer about a month to cycle through all possible combinations. However,
assuming the player was following optimal strategy under pay table 3 but
playing under pay table 1 or 2 then the house edge under pay table 1 would
be 2.40%, and under pay table 2 would be 1.96%. The actual house edge under
pay tables 1 and 2 would be slightly less or equal to these figures.
Side Bets
I am aware of two side bets, known as the AA+ as follows. Both are based
on the poker value of the player's two cards and the three flop cards.
In version 1 a flush or higher pays 25 to 1 and a pair of aces to a
straight pays 7 to 1. Following is the return table. The lower right cell
shows a house edge of 6.40%.
AA+ Side Bet, version 1
Hand
Pays
Combinations
Probability
Return
Royal Flush
25
4
0.000002
0.000038
Straight flush
25
36
0.000014
0.000346
4 of a kind
25
624
0.00024
0.006002
Full house
25
3744
0.001441
0.036014
Flush
25
5108
0.001965
0.049135
Straight
7
10200
0.003925
0.027473
Three of a kind
7
54912
0.021128
0.147899
Two pair
7
123552
0.047539
0.332773
Pair of aces
7
84480
0.032505
0.227537
Other
-1
2316300
0.891241
-0.891241
Total
2598960
1
-0.064023
Version 2 has the following return table. The lower right cell shows a
house edge of 6.26%.
The correct rules are followed with six decks. The player should always
go to war, as opposed to surrender. The house edge is 2.88%
Some Interent
casinos use unusual number of decks. The following table shows the house
edge under the bonus rules, normal "no bonus" rules, surrendering on ties,
and the tie bet itself.
The pass line is the most fundamental bet in craps; almost every player
at the table bets on it. If you only understand one bet in craps, it should
be this one.
The pass line bet is put on the the pass line itself on a come out roll.
You can tell it is a come out roll if there is a black laminated marker on
the table that says "off." If the come out roll is a 7 or 11, then you win
even money. If the come out roll is a 2, 3, or 12, then you lose. If any
other total is rolled (4, 5, 6, 8, 9, or 10) that total is called "the
point." The dealer will turn over the marker that says "off" to the white
"on" side, and place it on an area of the table with that number, to help
the players remember what the point is. Then, the shooter will roll the dice
until he either rolls that same point again, or a seven. If a seven comes
before the point, then you lose. If the point is rolled first, then you win
even money.
Do not make a pass line bet after the come out roll. This is allowed but
is highly illadvised because the value of a pass line bet is diminished
after the come out roll.
The house edge on the pass line is only 1.41%, which is not bad compared
to most other bets on the table and other games in the casino.
Taking the Odds
Have you ever wanted a bet with no house edge? In most casinos there are
only two, the double-up feature on some video poker games, and the "odds" in
craps. However, you have to make a pass line bet first. After a point has
been thrown you may bet up to some multiple of your pass line bet, usually 3
to 5 times, on the "odds." To make an odds bet after a pass line bet just
put the odds bet behind the pass line bet, outside of the pass line area on
the side closer to you.
The odds are simply an additional wager that the point will be rolled before
a 7. Because seven is the most likely total roll, you win more than even
money when you win. Specifically, if the point is a 6 or 8 the odds pay 6 to
5, if the point is a 5 or 9 the odds pay 3 to 2, and if the point is a 4 or
10 the odds pay 2 to 1. These are exactly statistically fair payouts.
The table below shows the combined house edge on the
pass line and taking the odds.
Combined house edge on the
pass line and taking odds
Odds
House Edge
1X
0.848%
2X
0.606%
Full double odds
0.572%
3X
0.471%
3-4-5X
0.374%
5X
0.326%
10X
0.184%
20X
0.099%
100X
0.021%
"Full double odds" means the player can take 2.5 times odds on a point of
6 or 8, and 2 times on all other points. "3-4-5 times odds" means the player
can take 3X odds on the 4 and 10, 4X on the 5 and 9, and 5X on the 6 and 8.
Assuming the player takes the maximum allowable odds the payoff on any odds
bet will conveniently always be 6X the pass or come bet. If the maximum odds
would result in an uneven win, the dealers will usually let you bet even
more to get to an even payoff.
Don't Pass
The don't pass is almost the opposite of the pass line bet. If the come
out roll is a 2 or 3 then you win, a 7 or 11 you lose. A 12 is a push,
except in Reno and Lake Tahoe, where a 2 is a push instead of the 12.
Otherwise, the dice are rolled over and over until either the point or a 7
is rolled. If the 7 comes first you win, if the point come first you lose.
All wins pay even money.
A person betting on the don't pass is called a "wrong" bettor and is
usually winning when everone else is losing, and vise versa. If you make
this bet, keep a low profile. The other players are not want to see you
yelling "yippy" as they are losing.
There is some disagreement about the house edge on the don't pass. The
following return table shows all the possible outcomes. The lower right cell
shows a house edge of 1.36%. Some gambling books state the house edge is
1.40%. This is the expected loss per bet resolved. In other words it ignores
ties. Today, most gambling writers, including myself, count ties, and thus
would go with 1.36% as the house edge.
Don't Pass Return Table
Event
Pays
Combinations
Probability
Return
Win
1
949
0.479293
0.479293
Push
0
55
0.027778
0
Lose
-1
976
0.492929
-0.492929
Total
1980
1
-0.013636
Laying the Odds
This is the opposite of taking odds, in other words betting that a 7 will
be rolled before the point.
To make an odds bet, after a don't pass line bet, you have to give the
bet to a dealer and tell him you want to lay odds on whatever the point is.
Never hand the dealer a bet, but instead put it in front of him and say
something like "layings odds on the 4." The dealer will put it in the right
place.
If the point is a 4 or 10 laying the odds pays 1 to 2.
If the point is a 5 or 9 laying the odds pays 2 to 3.
if the point is a 6 or 8 laying the odds pays 5 to 6.
The amount you may win by laying odds is the product of your don't pass
bet and the multiple of odds allowed per the table rules. If the table
allows five times odds then you can win five times your don't pass bet by
laying odds. Note that the multiple applies to how much you can win, not how
much you can bet. For example, if you bet $2 on the don't pass and the table
allows full double odds then you can bet $8 to win $4 on a point of 4 or 10,
$6 to win $4 on a point of 5 or 9, and $6 to win $5 on a point of 6 or 8.
The following table shows the combined house edge on
both the don't pass bet and laying the odds.
Combined house edge on the
don't pass and laying odds
Odds
House Edge
1X
0.682%
2X
0.455%
Full double odds
0.431%
3X
0.341%
3-4-5X
0.273%
5X
0.227%
10X
0.124%
20X
0.065%
100X
0.014%
Come
Have you ever become bored waiting for a point to be thrown, and didn't
want to waste your money on the sucker bets, to add excitement? If so, then
consider the come bet. It is like the pass line bet, but may be made at any
time. Like the pass line bet, you may also put money on the odds if a point
is thrown on the first roll after the come bet is placed and has a house
edge of 1.41%.
There is a nuance to the come bet the player should know about. If a
point is thrown and there are still active come bets on the table, waiting
for a different point, then special rules apply for the following come out
roll. The come out roll will still apply to active come bets, but it will
not apply to their respective odds bets. If a 7 is rolled on a come out
roll, odds bets on top of come bets will be returned. The player may ask to
keep the odds turned on, but few do.
Turning the come odds off on a come out roll increases the combined house
edge from 0.326% to 0.377% in a 5-times odds game, not counting returned
odds bets as bets made. So if you want to maximize your return on resolved
bets then keep those come odds turned on.
A good strategy for the player who likes constant action is to have a new
bet on either the pass line or come on every throw, and to always take the
maximum allowable odds.
Don't Come
The don't come bet is like the don't pass bet, but is made on a non-come
out roll.
Place Bets
In craps the 4,5,6,8,9, and 10 are known as the "place numbers." The
player may bet on any of these numbers, and if it is rolled before a seven,
the bet wins. Place bets are just like odds bets, except no pass line bet is
required, and they pay worse odds.
A place bet on 4 or 10 pays 9-5 with a house edge of 6.67%.
A place bet on 5 or 9 pays 7-5 with a house edge of 4.00%.
A place bet on 6 or 8 pays 7-6 with a house edge of 1.52%.
When a place bets wins, the dealer will return your winnings but leave
the original bet on the table, essentially establishing a new place bet. You
may request that the original bet be returned, of course. In fact, you may
take back an active place bet at any time or you may "turn them off"
temporarily.
Buy Bets
Buy bets are essentially the same as the place bet, only with a different
payoff. The player may "buy" any of the points (4, 5, 6, 8, 9, and 10),
which means to bet that the number will be rolled before a 7. When making a
buy bet you must pay a 5% commission and your bet will pay fair odds if it
wins. Fair odds are 2-1 on the 4 and 10, 3-2 on the 5 and 9, and 6-5 on the
6 and 8.
A buy bet should be an increment of $20 so that the 5% commission can be
an even dollar amount. If the bet is not divisible by $20 the commission
will usually be rounded up to the nearest dollar.
A few casinos only charge the commission on a buy bet if it wins. If this
is the case the house edge is lowered to 1.67% on the 4 and 10, 2.00% on the
5 and 9, and 2.27% on the 6 and 8.
The following table compares the house edge of place
and buy bets.
House Edge on Place and Buy
Bets
Point
Place
Buy — Commission Always Paid
Buy — Commission Paid on Wins Only
6,8
1.52%
4.76%
2.27%
5,9
4.00%
4.76%
2.00%
4,10
6.67%
4.76%
1.67%
What this table shows is that the player who wants to bet on the points,
should buy the 4 and 10, and place the other numbers. However, if commission
is only charged on wins, then he should also buy the 5 and 9. If the exact
same bet has two different odds, always choose the one that pays more.
Note:If the commission is rounded down, the player can cut down
the house edge by betting just under $40 for a commission of $1. A buy bet
of $39 on the 4 or 10 has a house edge of 2.5%. A buy bet of $38 on the 5 or
9 has a house edge of 2.56%. A buy bet of $35 on the 6 or 8 has a house edge
of 2.78% (which is still not as good as the place bet).
Big 6 and 8: These are exactly like the place bets on 6
and 8, respectively, except pay worse odds. While the place bets on these
numbers pay 7 to 6, the big 6 and 8 bets only pay even money, for a house
edge of 9.09%. In Atlantic City these bets are illegal. In Las Vegas, that
area of the felt is sometimes used for other sucker bets instead.
Hard ways: There are four different hard way bets. For
example, a hard 4 bet is betting that a pair of two's will be rolled before
a 7 or before any other way to roll a total of 4. This is called "the hard
way" because it is harder to roll two twos than a one and a three. Likewise,
you can bet on a hard 6,8, or 10, each of which is a bet that the hard way
of rolling the given number will occur before a 7 or any "easy" way.
The
casino pays 7-1 on a hard 4 or 10 with a house edge of 11.11%.
The casino pays 9-1 on a hard 6 or 8 with a house edge of 9.09%.
Lay bets The lay bet is the opposite of the buy bet . The lay
bets may be placed on the 4, 5, 6, 8, 9, or 10. The bet itself is that a 7
will be rolled before the number you choose. Because the 7 is the most
likely number to be rolled you will wager more than you can win. The player
must pay a 5% commission on the possible winnings and the fair odds are paid
on the bet itself. Fair odds are 1 to 2 on the 4 and 10, 2 to 3 on the 5 and
9, and 5 to 6 on the 6 and 8. Another way to look at it is that lay bet pays
19-41 on the 4 and 10, 19-31 on the 5 and 9, and 19-25 on the 6 and 8. Bets
on the 4 and 10 should be in increments of $40, bets on the 5 and 9 should
be in crements of $30, and bets on the 6 and 8 in crements of $24, so that
the 5% commission will be divisible by $1. If the commission is not
divisible by $1 it will be rounded up, thus increasing the dealer's edge.
For example, if you want to bet on the 10, the least bet should be $40 (not
including the $1 commission) and if a 7 is rolled before a 10 you will win
$20. The house edge on the 4 and 10 is 2.44%, on the 5 and 9 it is 3.23%,
and on the 6 and 8 it is 4.00%.
Note: If the commission is rounded
down, the player can cut down the house edge by betting so that the winnings
will be just under $40. A lay bet of $78 on the 4 or 10 has a house edge of
1.27%. A lay bet of $57 on the 5 or 9 has a house edge of 1.72%. A lay bet
of $42 on the 6 or 8 has a house edge of 2.33%. All of these are better than
the place bets to lose.
It should be noted that on a per roll basis, the house edge on place bets
is much lower. In other words, if the player makes a one roll only place bet,
taking it down if it hasn't resolved then the house edge on the 4 and 10 is
1.67%, on the 5 and 9 is 1.11%, and on the 6 and 8 is 0.46%. However, the
house edge per bet resolved are the larger numbers above.
Often after a point is made a player will make a place bet on every
number except the point. This is called an "across the board" bet. If the
point is 4 or 10 the player will bet in increments of $27, putting $5 on the
4 or 10 (whichever isn't the point), $5 on the 5 and 9, and $6 on the 6 and
8. The increment is also $27 on a point of 5 or 9, and $26 on a point of 6
or 8. Assuming the player leaves the bets up until resolved, the house edge
on a point of 4 or 10 is 3.39%, on 5 or 9 is 3.88%, and 6 or 8 is 4.45%.
The table below is a summary of the various place
number bets for quick comparison.
Place, Buy, Lay Bets
Bet
Description
Pays
House Edge
Big 6
6 before 7
1-1
9.09%
Big 8
8 before 7
1-1
9.09%
Buy 4 - Commission always paid
4 before 7
39-21
4.76%
Buy 5 - Commission always paid
5 before 7
29-21
4.76%
Buy 6 - Commission always paid
6 before 7
23-21
4.76%
Buy 8 - Commission always paid
8 before 7
23-21
4.76%
Buy 9 - Commission always paid
9 before 7
29-21
4.76%
Buy 10 - Commission always paid
10 before 7
39-21
4.76%
Buy 4 - Commission paid on win
4 before 7
39-20
1.67%
Buy 5 - Commission paid on win
5 before 7
29-20
2.00%
Buy 6 - Commission paid on win
6 before 7
23-20
2.27%
Buy 8 - Commission paid on win
8 before 7
23-20
2.27%
Buy 9 - Commission paid on win
9 before 7
29-20
2.00%
Buy 10 - Commission paid on win
10 before 7
39-20
1.67%
Hard 4
Hard 4 before 7 or easy 4
7-1
11.11%
Hard 6
Hard 6 before 7 or easy 6
9-1
9.09%
Hard 8
Hard 8 before 7 or easy 8
9-1
9.09%
Hard 10
Hard 10 before 7 or easy 10
7-1
11.11%
Lay (4)
7 before 4
19-41
2.44%
Lay (5)
7 before 5
19-31
3.23%
Lay (6)
7 before 6
19-25
4.00%
Lay (8)
7 before 8
19-25
4.00%
Lay (9)
7 before 9
19-31
3.23%
Lay (10)
7 before 10
19-41
2.44%
Place (4)
4 before 7
9-5
6.67%
Place (5)
5 before 7
7-5
4.00%
Place (6)
6 before 7
7-6
1.52%
Place (8)
8 before 7
7-6
1.52%
Place (9)
9 before 7
7-5
4.00%
Place (10)
10 before 7
9-5
6.67%
Put Bets
A put bet is a combination of making a pass line or come bet after a
point is established and betting on the odds. It is in general a bad idea to
make a line bet after a point is established, however, by taking the odds
the combined house edge can be lower than a corresponding place or buy bet.
The following table displays the combined house edge according to the point
and the multiple of odds taken.
Put Bets
Odds Multiple
Point of 4,10
Point of 5,9
Point of 6,8
0
33.33%
20.00%
9.09%
1
16.67%
10.00%
4.55%
2
11.11%
6.67%
3.03%
3
8.33%
5.00%
2.27%
4
6.67%
4.00%
1.82%
5
5.56%
3.33%
1.52%
6
4.76%
2.86%
1.30%
10
3.03%
1.82%
0.83%
20
1.59%
0.95%
0.43%
100
0.33%
0.20%
0.09%
If the point is a 4 or 10, the house edge on the put bet with six times
odds is the same as a corresponding buy bet. If the point is a 5 or 9, the
house edge on the put bet with four times odds is the same as a
corresponding place bet. If the point is a 6 or 8, the house edge on the put
bet with five times odds is the same as a corresponding place bet. In other
words, you have to back up the put with with 4 to 6 times odds for the house
edge to be equal to the best option between a corresponding place or buy bet.
It should be noted that put bets are not allowed in some casinos.
The Proposition Bets
Proposition bets either win or lose on the next throw. In general these
have the highest house edge of all the crap bets and players with any sense
at all will avoid them completely. Specific descriptions of the various bets
are below.
Crap 2: A bet that a 2 will be thrown on the next roll. Pays
30-1. House edge 13.89%.
Crap 3: A bet that a 3 will be thrown on the next roll. Pays
15-1. House edge 11.11%.
7: A bet that a 7 will be thrown on the next roll. Pays 4-1.
House edge 16.67%. You can accomplish the same bet, but get paid more,
by dividing the any seven bet into 3 hop bets on 1-6, 2-5, and 3-4, for
a house edge of 11.11%.
11: A bet that an 11 will be thrown on the next roll. Pays
15-1. House edge 11.11%.
Crap 12: A bet that a 12 will be thrown on the next roll.
Pays 30-1. House edge 13.89%.
Any craps: A bet that the next roll will be a 2, 3,
or 12. Pays 7-1. House edge 11.11%.
Field bet: This is a one time bet that the next
roll will be a 2,3,4,9,10,11, or 12. The 3,4,9,10, and 11 pay even money
and the 2 and 12 pay 2-1. In some casinos, largely confined to downtown
Las Vegas, the 12 will pay 3-1. Some casinos pay on 5 instead of the 9.
If the 12 pays 2-1 the house edge is 5.56%, if the 12 pays 3-1 the house
edge is 2.78%. On the surface this seems like a great bet because 7
numbers win and only 4 lose. However, the 4 that lose are much more
likely to be rolled.
Hop Bets: These are among the worst bets on the
crap table. There is no specific place on the table for these but the
dealers will broker your bet if you ask. At any time you may bet on what
the next roll will be, exactly. For example you can bet that the next
roll will be a 5 and 3. If you take two different numbers as in the 5
and 3 example the payoff is 15-1 with a house edge of 11.11%. If you
take two of the same number, for example 5 and 5, the payoff is 30-1
with a house edge of 13.89%. Note that there are already proposition
bets for 1 and 1, 1 and 2, 5 and 6, and 6 and 6.
Horn Bet: This is four bets in one. The bet must be made in
increments of $4 with $1 each placed on the 2, 3, 11, and 12. Payoffs
are the same as betting each number individually. The house edge is
12.5%. The player may also bet in increments of $5 with a double portion
on any one number. For example, a "Horn 12 high" bet would put $2 on the
12 and $1 each on the 2, 3, and 11. The Horn 2 and 12 high bets have a
house edge of 12.78%, and the 3 and 11 high Horn bets have a house edge
of 12.22%.
Although horn bigs are highly ill-advised, because of the high house
edge, if one still wishes to bet the horn 3 high, there is a better way
to do it. Rather than bet $5 on the horn 3 high, instead bet $4 on any
craps and $1 on 11. The net win on the 2 and 12 will be $1 more, with
all other outcomes equal.
World Bet: Similar to the Horn bet but the player bets in
increments of $5, with $1 each on the 2, 3, 7, 11, and 12. The house
edge is 13.33%.
The table below is a summary of the proposition bets
for quick comparison.
Proposition Bets
Bet
Description
Pays
House Edge
2
2 on next roll
30-1
13.89%
3
3 on next roll
15-1
11.11%
7
7 on next roll
4-1
16.67%
11
11 on next roll
15-1
11.11%
12
12 on next roll
30-1
13.89%
Any craps
2, 3, or 12 on next roll
7-1
11.11%
Field (loose)
2, 3, 4, 9, 10, 11, or 12 on next roll.
see above
2.78%
Field (tight)
2, 3, 4, 9, 10, 11, or 12 on next roll.
see above
5.56%
Hop (two numbers)
Any specific two numbers on next roll
15-1
11.11%
Hop (one number)
Any specific pair of numbers on next roll
30-1
13.89%
Horn
2, 3, 11, or 12 on next roll
see above
12.50%
Horn - 2 or 12 high
2, 3, 11, or 12 on next roll, double portion on 2
or 12
see above
12.78%
Horn - 3 or 11 high
2, 3, 11, or 12 on next roll, double portion on 3
or 11
This is a very well done horse racing game. There are six horses in each
race the player may make win, place, show, exacta, pick 4, and pick 5 bets.
Statistics and reviews are available on each horse. Based on game observations, and assuming the house edge is the same on each bet,
the house edge is 5.1%.
The following table shows the probability of winning and expected return
for most bets.
Dice Twister Return Table
Bet
Probability
Pays
Return
Total of 4
0.013889
70
0.972222
Total of 5
0.027778
35
0.972222
Total of 6
0.046296
21
0.972222
Total of 7
0.069444
14
0.972222
Total of 8
0.097222
10
0.972222
Total of 9
0.115741
8.25
0.954861
Total of 10
0.125
7.75
0.96875
Total of 11
0.125
7.75
0.96875
Total of 12
0.115741
8.25
0.954861
Total of 13
0.097222
10
0.972222
Total of 14
0.069444
14
0.972222
Total of 15
0.046296
21
0.972222
Total of 16
0.027778
35
0.972222
Total of 17
0.013889
70
0.972222
Low (3-8)
0.259259
3.75
0.972222
Mid (9-12)
0.481481
2
0.962963
High (13-18)
0.259259
3.75
0.972222
All odd
0.125
7.75
0.96875
All even
0.125
7.75
0.96875
Odd/even mix
0.75
1.25
0.9375
There are also six bets, for for each face of the die. If one of the
three dice land on the chosen face the player wins 2, two dice matching wins
3, and all three matching wins 15. The following table shows the probability
and contribution to the return of each number of matches. The lower right
cell shows a return of 97.22%.
The game will randomly throw three darts at a dartboard.
The probability any given dart will land in the inner bullseye is
0.25%.
The probability any given dart will land in the outer bullseye is
0.5%.
The probability for any given dart that for all slices are the same
at 99.25%/20 = 4.9625% each.
The probability for any given dart that the dart lands in one of the
single rings is 74.4375%.
The probability for any given dart that the dart lands in the double
ring is 14.8875%.
The probability for any given dart that the dart lands in the triple
ring is 9.925%.
Analysis:
The following table shows the probability and return for each possible
bet. The table shows the best bet to be on one double at 97.0624%.
Jackpot Darts
Bet
Pays
Probability
Return
Total of 3 to 38
2
0.480481
0.960961
Total of 39 to 41
14
0.068507
0.959097
Total of 42 to 180
2.1
0.451012
0.947126
0 singles
56
0.016704
0.935401
1 single
6.5
0.145922
0.948491
2 singles
2.2
0.424921
0.934826
3 singles
2.3
0.412454
0.948644
0 doubles
1.5
0.616567
0.92485
1 double
3
0.323541
0.970624
2 doubles
17
0.056592
0.962071
3 doubles
290
0.0033
0.956893
0 triples
1.3
0.730824
0.950071
1 triple
4
0.24158
0.966319
2 triples
36
0.026619
0.958273
3 triples
980
0.000978
0.958115
Specific single
9
0.107552
0.967969
Outer bullseye
64
0.014925
0.955208
Inner bullseye
125
0.007481
0.935158
The $1 progressive jackpot bet pays $20 for one bulls eye (either outer
or inner), $2000 for two, and the jackpot for three. The expected return is
77.82% plus 4.22% for each $100,000 in the meter. The breakeven point is
$525643.70.
The same thing as Let it Ride.
The conventional rules are followed. The side bet follows the same pay table
as the Lady Luck in downtown Las Vegas. Between lots of pay tables for the
side bet in Let it Ride, this one (playtech casinos) has the lowest house edge at 13.77%.
The jackpot bets requires the player to bet $1 and choose five numbers.
If all five balls are drawn the player will win a progressive jackpot. The expected return is 3.5040507% for each $10,000 in the meter. The breakeven
meter point is $285,384.00, in which it is exactly a fair bet. The
probability of winning is 1 in 285384.
The color bets are 21 different bets. The player chooses red, blue, or
yellow; as well as the exact number (0 to 6) of that color drawn. The
following table shows the probability and winning for each total.
Colors Bets
Bet
Probability
Pays
Return
0
0.073845
12.9
0.952603
1
0.262561
3.6
0.945218
2
0.351644
2.7
0.949438
3
0.226345
4.2
0.950651
4
0.073562
12.9
0.948953
5
0.01139
83
0.945394
6
0.000653
1450
0.946224
There are two cocktail bets available. The cocktail bet wins if all three
colors are represented in the next draw. The double cocktail bet wins if
exactly two of each color are represented in the next draw. The following
table shows the probability of winning and return of both bets.
Cocktail Bets
Bet
Probability
Pays
Return
Cocktail
0.780422
1.2
0.936507
Double cocktail
0.140814
6.7
0.943453
There are 51 sixth bets available. All are on the last number drawn. The
player may bet on either the color or the exact number of the last ball
drawn. The following table shows the probability of winning and return of
both types of bets.
Sixth Number Bets
Bet
Probability
Pays
Return
Number
0.020833
45
0.9375
Color
0.333333
2.85
0.95
There are two steps bets available. The increase bet wins if each ball,
starting with the second, is higher than the last ball. The decreasing bet
is the opposite. The following table shows the probability of winning and
return of both bets.
Cocktail Bets
Bet
Probability
Pays
Return
Higher
0.001389
680
0.944444
Lower
0.001389
680
0.944444
There are four numbers bets available. The player chooses one to four
numbers. If all numbers chosen by the player are also drawn in the ball draw
then the player wins. The following table shows the probability of winning
and return according to the number of balls chosen.
Numbers Bets
Bet
Probability
Pays
Return
1
0.125
7.6
0.95
2
0.013298
71
0.944149
3
0.001156
820
0.948196
4
0.000077
12300
0.948196
There are just two First and Last bets. The player bets whether the first
or last ball will be the higher of the two. The following table shows the
probability of winning and return for both bets.
First and Last Bets
Bet
Probability
Pays
Return
First Higher
0.5
1.9
0.95
Last Higher
0.5
1.9
0.95
There are seven total bets. The player bets on the sum of the six balls
drawn. The following table shows the probability of winning and return for
all total bets.
In Pai Gow Poker, the dealer is always the banker, resulting in a house edge of 2.85%.
There is a house way button but if the player clicks it the hand will
immediately be scored, not giving the player the option to accept or reject
the house way.
Playtech has the only pachinko game I am aware of online, called
Dolphin
Paradise. Just click “play” and the game shoots balls at a rate of about one
per second, until you click “stop.” Sometimes the game goes into a slot
machine type of bonus. I worked in land based casinos before, and I never
saw this game before... I’m not a pachinko expert, but I've
tryed to play this game, and up to now I've no idea regarding odds/house
edge for this game (Must have an house edge (?) but on a first view, this
game look like totally random, expept if there is a stratedy to play... If
ther is!). But
I believe that on my own analysis, the house edge on this game is pretty high.
This is the same thing as Three Card Poker. Full pay rules are followed.
I believe Playtech is the only software brand to feature the original and
most generous pay table. The house edge is 2.32% on the Pairplus bet and
3.37% on the Ante bet.
This is the American Pontoon, in which the player gets paid 2 to 1 for a
5-card winning hand. It is not Australian Pontoon, which is what we call
Spanish 21 in the U.S.. Playtech uses 8 decks, dealer hits a soft 17, and
pays a pontoon after splitting aces 2 to 1. In other words the rules are the
same as those at Cryptologic and
Real Time Gaming
casinos.
(At Microgaming
casinos the rules are the same except split aces get one card each and
the dealer stands on soft 17, in which case the house edge is 0.39%).
The following table shows the net return per unit bet on various
spreads, assuming a six deck game. As you can see only spreads of seven or
more are favorable. Thus the player should only raise on spreads of 7 or
more, which is true regardless of the number of decks used.
Expected Gain by Raising
Spread
Pays
Probability
of winning
Player's
edge
1
5
0.077419
-0.535484
2
4
0.154839
-0.225806
3
2
0.232258
-0.303226
4
1
0.309677
-0.380645
5
1
0.387097
-0.225806
6
1
0.464516
-0.070968
7
1
0.541935
0.083871
8
1
0.619355
0.238710
9
1
0.696774
0.393548
10
1
0.774194
0.548387
11
1
0.851613
0.703226
House Edge
The following table shows the probability and return of each possible
outcome in a six-deck game.
Red Dog Return Table - Six Decks
Win
Probability
Return
11
0.005248
0.057733
5
0.010111
0.050553
4
0.018383
0.073532
2
0.139711
0.279422
1
0.094673
0.094673
0
0.211175
0
-1
0.457508
-0.457508
-2
0.063192
-0.126383
Total
1
-0.027978
The standard deviation in Red Dog is 1.60.
The following table displays the house edge and element of risk according to
the number of decks used.
There are three roulette games to choose from: French, European, and
American roulette. The French and European have a single zero(0), for a house edge of
2.70% on all bets. The American roulette wheel has two zeros (0, 00) for a house edge of
5.26% on all bets except the 0-00-1-2-3 combination, at 7.89%.
Analysis:
Bet
Pays
Probability Win
House Edge
Black
1
47.37% (0,00)
48.65% (single
0)
5.26% (0,00)
2.70% (single 0)
Odd
1
47.37% (0,00)
48.65% (single 0)
5.26% (0,00)
2.70% (single 0)
Even
1
47.37% (0,00)
48.65% (single 0)
5.26% (0,00)
2.70% (single 0)
1 to 18
1
47.37% (0,00)
48.65% (single 0)
5.26% (0,00)
2.70% (single 0)
19 to 36
1
47.37% (0,00)
48.65% (single 0)
5.26% (0,00)
2.70% (single 0)
1 to 12
2
31.58% (0,00)
32.43% (single 0)
5.26% (0,00)
2.70% (single 0)
13 to 24
2
31.58% (0,00)
32.43% (single 0)
5.26% (0,00)
2.70% (single 0)
25 to 36
2
31.58% (0,00)
32.43% (single 0)
5.26% (0,00)
2.70% (single 0)
Six number combination
5
15.79% (0,00)
16.22% (single 0)
5.26% (0,00)
2.70% (single 0)
0,00,1,2,3 combination
6
13.16% (0,00)
N/A
7.89% (0,00)
N/A
Four number combination
8
10.53% (0,00)
10.81% (single 0)
5.26% (0,00)
2.70% (single 0)
Three number combination
11
7.89% (0,00)
8.11% (single 0)
5.26% (0,00)
2.70% (single 0)
Two number combination
17
5.26% (0,00)
5.40% (single 0)
5.26% (0,00)
2.70% (single 0)
Any one number
35
2.63% (0,00)
2.70% (single 0)
5.26% (0,00)
2.70% (single 0)
*Note that a lot of roulette players are playing "2 column" or "2
dozens", and they are thinking that they are playing at >63%
return... WRONG! >63% is the chance to get back half of your
initial bet. The real probability to win by playing like this is
the same than red/black ; even/odds: 47,37% on american roulette
,and 48,65% on european roulette.
Sic Bo payoffs are better than some and worse than others. Of special
note is that the single number bet pays 12-1 on a 3 of a kind, better than
the usual 3-1 payoff. The following table shows the payoff and house edge
for all bets.
Playtech Sic Bo
Bet
Pays
Prob. Win
House Edge
Small, Big
1-1
48.61%
2.78%
4, 17
60-1
1.39%
15.28%
5, 16
30-1
2.78%
13.89%
6, 15
17-1
4.63%
16.67%
7, 14
12-1
6.94%
9.72%
8, 13
8-1
9.72%
12.5%
9, 12
6-1
11.57%
18.98%
10, 11
6-1
12.5%
12.5%
Triple
180-1
0.46%
16.2%
Any triple
30-1
2.78%
13.89%
Double
10-1
7.41%
18.52%
Two die combination
5-1
13.89%
16.67%
Any number
(1/2/3)-1
42.13%
7.87%
The lowest house edge bets are on big and small bets at 2.78%.
In April 2006 Playtech introduced Tequila Poker. As far as I know
Playtech is the only software to offer the game. At the time of this writing not all
casinos offer it yet.
Analysis:
The following table shows the possible outcomes when the player makes the
High Tequila bet. The probability and return columns are relative to all
hands, including when the player plays the Tequila Poker bet or folds. The
bottom row shows the player will make the High Tequila bet 30.09% of the
time when playing the proper strategy, for an average win of 0.2036 units
per hand.
High Tequila Return Table
Hand
Pays
Combinations
Probability
Return
54
201
7896
0.000026
0.005197
53
16
216858
0.00071
0.011362
52
8
1662006
0.005442
0.04354
51
5
4709738
0.015423
0.077113
50
4
6835090
0.022382
0.08953
49
3
8185326
0.026804
0.080412
46 to 48
2
26528458
0.086871
0.173742
45 or less
-2
42122828
0.137937
-0.275874
Total
90268200
0.295595
0.205022
The next table shows the possible outcomes when the player makes the
Tequila Poker bet. The probability and return columns are relative to all
hands, including when the player plays the High Tequila bet or folds. The
bottom row shows the player will make the Tequila Poker bet 31.805% of the
time when playing the proper strategy, for an average win of 0.1442 units
per hand.
Tequila Poker Return Table
Hand
Pays
Combinations
Probability
Return
Royal flush
201
1216
0.000004
0.0008
Straight flush
51
19968
0.000065
0.003335
Four of a kind
16
190116
0.000623
0.009961
Full house
9
2075976
0.006798
0.061183
Flush
8
1832708
0.006001
0.048012
Straight
6
2097204
0.006868
0.041205
Three of a kind
4
7276704
0.023829
0.095314
Two pair
3
22930308
0.075088
0.225265
Pair of aces
2
3806232
0.012464
0.024928
Other
-2
56344416
0.184507
-0.369014
Total
96574848
0.316247
0.140988
Finally, the player should fold 38.798% of the time, for a net loss of
one unit.
The final table summarizes the three possible actions and the
contribution to the total return of each.
Tequila Poker Return Table
Action
Combinations
Probability
Expected Value
Return
High Tequila
90268200
0.295595
0.69359
0.205022
Tequila Poker
96574848
0.316247
0.445817
0.140988
Fold
118534752
0.388158
-1
-0.388158
Total
305377800
1
0
-0.042147
The table above shows the house edge is 4.21%. With an average wager of
1.612 units the element of risk is 2.61%.
Rule Variations
If a total of 52 were to pay 5 to 1, as opposed to 7 to 1, then the house
edge would be 5.27% and the element of risk 3.27%.
Playtech offers several different video poker games to choose from. Many
are offered in single play and 4-play. There is also a double up, and half
double up, feature available. The player may keep redoubling up to bets of
$1000. Doubling also counts towards required play to earn a bonus. The
following table displays the expected return of each game, assuming optimal
player strategy.
Playtech Video Poker - Expected
Returns
Game
Return
Jacks or better
99,5439%
10 line Jacks or Better
97,2416%
4 line Aces and faces
99,2555%
25 line Aces and faces
95,4444%
Bonus poker
99,8088%
Two Way Royals
99,1286%
Tens or better
97,9598%
Joker poker
98,5987%
Deuces wild
98,9130%
Jacks or better
0.
10-Play Jacks or Better
4-Line Aces and faces
0.
25-Line Aces and faces
0.
Two Way Royals
0.
Tens or better
0.
Joker poker
0.
Deuces wild
0.
In addition there is a 25 cent progressive "9/6" video poker game called
Megajacks. On May 12, 2002, the meter at Casino Mapau was at $592.71. The
meter needs to pass $1000 for the progressive game to be a better bet than
the non-progressive jacks or better game. If the meter passes $1230.30 for
the odds to switch to the player's advantage, assuming optimal 9/6 strategy
with no adjustments for the higher pay on the royal flush (which video poker
experts do make).
Following are the expected return tables for Playtech video poker
"Jacks or Better".
