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Ante Wager AnalysisThe following table shows the probability and contribution to the return for all possible outcomes of the Ante bet.
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Pocket PairsTM AnalysisThe following tables shows the probability and contribution to the return for all possible outcomes of the Pocket Pairs bet. All winning hands must include a pocket pair (meaning the player's hole cards are a pair). |
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The lower right cell shows a house edge of 3.52%. The player will raise 66.5% of the time, for an average final wager of 2.31 units. The element of risk is thus 3.52%/2.31=1.52%. Paytable |
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As shown in the table below, the expected value of the Pocket Pairs side bet is -0.046734. This corresponds to a house advantage of 4.6734%. |
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Paytable |
|
Outcome |
Pays |
Bonus Pay |
Combinations |
Probability |
Frequency |
EV |
|
Win, Four of a Kind |
3 |
40 |
121,417,920 |
0.000144 |
1 in 6941.7 |
0.006194 |
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Win, Straight Flush |
3 |
20 |
246,507,000 |
0.000292 |
1 in 3419.1 |
0.006727 |
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Win, Straight |
3 |
2 |
6,508,706,376 |
0.007722 |
1 in 129.5 |
0.038612 |
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Win, Flush |
3 |
1 |
10,268,261,924 |
0.012183 |
1 in 82.1 |
0.048732 |
|
Win, Other |
3 |
0 |
294,874,141,548 |
0.349857 |
1 in 2.9 |
1.049570 |
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Tie, Four of a Kind |
0 |
40 |
0 |
0.000000 |
1 in 0.0 |
0.000000 |
|
Tie, Straight Flush |
0 |
20 |
0 |
0.000000 |
1 in 0.0 |
0.000000 |
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Tie, Straight |
0 |
2 |
154,109,220 |
0.000183 |
1 in 5469.1 |
0.000366 |
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Tie, Flush |
0 |
1 |
0 |
0.000000 |
1 in 0.0 |
0.000000 |
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Tie, Other |
0 |
0 |
4,696,839,840 |
0.005573 |
1 in 179.4 |
0.000000 |
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Lose, Four of a Kind |
-3 |
40 |
0 |
0.000000 |
1 in 0.0 |
0.000000 |
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Lose, Straight Flush |
-3 |
20 |
90,720 |
0.000000 |
1 in 9290594.4 |
0.000002 |
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Lose, Straight |
-3 |
2 |
78,797,664 |
0.000093 |
1 in 10696.3 |
-0.000093 |
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Lose, Flush |
-3 |
1 |
656,951,056 |
0.000779 |
1 in 1283.0 |
-0.001559 |
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Lose, Other |
-3 |
0 |
236,265,368,412 |
0.280320 |
1 in 3.6 |
-0.840959 |
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Folds |
-1 |
0 |
288,971,536,320 |
0.342853 |
1 in 2.9 |
-0.342853 |
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Total |
|
|
842,842,728,000 |
1.000000 |
|
-0.035263 |
Hand |
Pays |
Combinations |
Probability |
Frequency |
EV |
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Four Aces |
300 |
288 |
0.000011 |
1 in 90,242 |
0.003324 |
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Four Kings |
200 |
288 |
0.000011 |
1 in 90,242 |
0.002216 |
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Four Queens |
140 |
288 |
0.000011 |
1 in 90,242 |
0.001551 |
|
Four Jacks |
80 |
288 |
0.000011 |
1 in 90,242 |
0.000887 |
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Four of a Kind, 2's to 10's |
40 |
2,592 |
0.000100 |
1 in 10,027 |
0.003989 |
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Three Aces |
30 |
27,264 |
0.001049 |
1 in 953 |
0.031471 |
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Three Kings |
20 |
27,264 |
0.001049 |
1 in 953 |
0.020981 |
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Three Queens |
14 |
27,264 |
0.001049 |
1 in 953 |
0.014686 |
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Three Jacks |
8 |
27,264 |
0.001049 |
1 in 953 |
0.008392 |
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Three of a Kind, 2's to 10's |
4 |
245,376 |
0.009441 |
1 in 106 |
0.037765 |
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Pair of Aces |
15 |
315,840 |
0.012153 |
1 in 82 |
0.182288 |
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Pair of Kings |
10 |
315,840 |
0.012153 |
1 in 82 |
0.121526 |
|
Pair of Queens |
7 |
315,840 |
0.012153 |
1 in 82 |
0.085068 |
|
Pair of Jacks |
4 |
315,840 |
0.012153 |
1 in 82 |
0.048610 |
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Pair, 2's through 10's |
2 |
2,842,560 |
0.109373 |
1 in 09.1 |
0.218746 |
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Other |
-1 |
21,525,504 |
0.828235 |
1 in 1.2 |
-0.828235 |
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Total |
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25,989,600 |
1.000000 |
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-0.046734 |