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Ace$ Bonus Poker

Last update: June 25, 2007

Ace$ Bonus Poker is a variation of Bonus Poker, in which the aces are marked one each with the letters/sybmols A, C, E, and $. If the player gets four aces with the word "ACE$" spelled in order and consecutively, either starting from the first or second position, the player will win 800 times his bet.

I had to write a customized program to analyze this because because postion does matter. Note the tables below show the number of permutations, as opposed to combinations, which are used in all other video poker variants except this and sequential royals.

To create a strategy for this game use software such as Video Poker Strategy Master or Frugal Video Poker but use a 94 for four aces when there are no aces on the deal. With one ace, in a correct position, use 110. With two aces, in a correction position, use 200. With three aces, in a correction position, use 440. These are weighted averages of 80 and 800, according to the probability of getting ACE$. If you have aces that are out of position then use 80.

Ace$ Bonus Poker

Hand Pays Permutations Probability Return

Royal flush 800 2,478,751,296 0.000025 0.019896

Straight flush 50 10,638,380,376 0.000107 0.005337

ACE$- or -ACE$ 800 335,325,696 0.000003 0.002692

Four A 80 19,251,495,084 0.000193 0.015453

Four 2-4 40 52,553,141,784 0.000527 0.021092

Four 5-K 25 163,433,879,184 0.001640 0.040995

Full house 8 1,147,387,016,772 0.011512 0.092098

Flush 5 1,084,898,919,648 0.010885 0.054427

Straight 4 1,117,970,696,376 0.011217 0.044869

Three of a kind 3 7,423,927,563,000 0.074488 0.223464

Two pair 2 12,889,384,215,552 0.129326 0.258651

Pair 1 21,437,293,915,548 0.215091 0.215091

Nonpaying hand 0 54,316,599,285,684 0.544985 0.000000

Total 99,666,152,586,000 1.000000 0.994065

Ace$ Bonus Poker

Hand Pays Permutations Probability Return

Royal flush 800 2,478,688,860 0.000025 0.019896

Straight flush 50 10,653,346,440 0.000107 0.005345

ACE$- or -ACE$ 800 335,317,784 0.000003 0.002692

Four A 80 19,250,892,052 0.000193 0.015452

Four 2-4 40 52,553,081,928 0.000527 0.021092

Four 5-K 25 163,358,309,952 0.001639 0.040976

Full house 7 1,147,102,036,164 0.011509 0.080566

Flush 5 1,085,249,436,900 0.010889 0.054444

Straight 4 1,122,665,572,428 0.011264 0.045057

Three of a kind 3 7,420,757,675,928 0.074456 0.223368

Two pair 2 12,884,906,396,448 0.129281 0.258561

Pair 1 21,438,617,145,948 0.215104 0.215104

Nonpaying hand 0 54,318,224,685,168 0.545002 0.000000

Total 99,666,152,586,000 1.000000 0.982554

Ace$ Bonus Poker

Hand Pays Permutations Probability Return

Royal flush 800 2,477,445,300 0.000025 0.019886

Straight flush 50 10,699,153,308 0.000107 0.005367

ACE$- or -ACE$ 800 333,723,903 0.000003 0.002679

Four A 80 19,665,768,909 0.000197 0.015785

Four 2-4 40 52,550,393,568 0.000527 0.021091

Four 5-K 25 163,361,100,480 0.001639 0.040977

Full house 6 1,136,941,400,700 0.011407 0.068445

Flush 5 1,085,906,512,332 0.010895 0.054477

Straight 4 1,123,335,508,128 0.011271 0.045084

Three of a kind 3 7,428,785,784,528 0.074537 0.223610

Two pair 2 12,883,010,966,424 0.129262 0.258523

Pair 1 21,445,169,438,304 0.215170 0.215170

Nonpaying hand 0 54,313,915,390,116 0.544958 0.000000

Total 99,666,152,586,000 1.000000 0.971095

Ace$ Bonus Poker

Hand Pays Permutations Probability Return

Royal flush 800 2,105,259,384 0.000021 0.016898

Straight flush 50 11,788,118,094 0.000118 0.005914

ACE$- or -ACE$ 800 355,311,537 0.000004 0.002852

Four A 80 18,378,513,255 0.000184 0.014752

Four 2-4 40 52,031,518,416 0.000522 0.020882

Four 5-K 25 157,600,985,772 0.001581 0.039532

Full house 10 1,104,136,254,468 0.011078 0.110783

Flush 8 1,618,497,852,222 0.016239 0.129914

Straight 6 1,690,839,333,594 0.016965 0.101790

Three of a kind 3 7,018,836,733,956 0.070423 0.211270

Two pair 1 12,083,311,732,644 0.121238 0.121238

Pair 1 18,370,362,970,116 0.184319 0.184319

Nonpaying hand 0 57,537,908,002,542 0.577306 0.000000

Total 0 99,666,152,586,000 1.000000 0.960145

Ace$ Bonus Poker

Hand Pays Permutations Probability Return

Royal flush 800 2,532,528,816 0.000025 0.020328

Straight flush 50 10,998,871,908 0.000110 0.005518

ACE$- or -ACE$ 800 333,385,235 0.000003 0.002676

Four A 80 19,196,520,745 0.000193 0.015409

Four 2-4 40 52,547,996,232 0.000527 0.021090

Four 5-K 25 162,949,344,348 0.001635 0.040874

Full house 10 1,145,147,743,440 0.011490 0.114898

Flush 6 1,100,818,573,836 0.011045 0.066270

Straight 4 1,160,198,993,436 0.011641 0.046563

Three of a kind 2 7,398,057,992,784 0.074228 0.148457

Two pair 2 12,847,850,787,312 0.128909 0.257818

Pair 1 21,301,942,809,528 0.213733 0.213733

Nonpaying hand 0 54,463,577,038,380 0.546460 0.000000

Total 99,666,152,586,000 1.000000 0.953634

Ace$ Bonus Poker

Hand Pays Permutations Probability Return

Royal flush 800 2,546,030,052 0.000026 0.020436

Straight flush 50 11,065,269,744 0.000111 0.005551

ACE$- or -ACE$ 800 332,841,887 0.000003 0.002672

Four A 80 19,182,444,781 0.000192 0.015397

Four 2-4 40 52,541,333,640 0.000527 0.021087

Four 5-K 25 162,846,724,332 0.001634 0.040848

Full house 9 1,144,647,906,480 0.011485 0.103363

Flush 6 1,101,638,008,584 0.011053 0.066320

Straight 4 1,169,134,531,356 0.011731 0.046922

Three of a kind 2 7,392,188,973,840 0.074170 0.148339

Two pair 2 12,838,421,257,200 0.128814 0.257629

Pair 1 21,286,904,133,960 0.213582 0.213582

Nonpaying hand 0 54,484,703,130,144 0.546672 0.000000

Total 99,666,152,586,000 1.000000 0.942146

Ace$ Bonus Poker

Hand Pays Permutations Probability Return

Royal flush 800 2,166,104,436 0.000022 0.017387

Straight flush 50 11,945,908,842 0.000120 0.005993

ACE$- or -ACE$ 800 363,515,163 0.000004 0.002918

Four A 80 18,718,470,309 0.000188 0.015025

Four 2-4 40 52,444,675,488 0.000526 0.021048

Four 5-K 25 158,568,636,960 0.001591 0.039775

Full house 10 1,113,015,405,168 0.011167 0.111674

Flush 8 1,703,138,587,062 0.017088 0.136707

Straight 4 1,242,190,529,586 0.012464 0.049854

Three of a kind 3 7,141,396,659,528 0.071653 0.214960

Two pair 1 12,336,879,559,320 0.123782 0.123782

Pair 1 19,076,158,601,712 0.191401 0.191401

Nonpaying hand 0 56,809,165,932,426 0.569995 0.000000

Total 99,666,152,586,000 1.000000 0.930524

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