# ACE\$ Bonus Poker

## Introduction

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, you can use my video poker strategy maker, but use a 92 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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