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# Black Jack Bonus Poker

## Introduction

Black Jack Bonus Poker is a video poker variation I noticed at the Gold Coast in Las Vegas in February 2006. At first I was confused, wondering how a player could get a four of a kind plus a blackjack in five cards. Then I realized you didn't need a blackjack but a black jack (note the two words). I had to use my slow video poker program to analyze this one, because with jacks not all suits are equal, which takes four days to run for a single pay table. Here are the results of two pay tables. The Gold Coast had the 9/6 pay table.

### 9/6 Black Jack Bonus Poker - 98.10%

Hand Pays Combinations Probability Return
Royal flush 800 486203646 0.000024 0.019513
Straight flush 50 2203932480 0.000111 0.005528
Four aces plus black jack 800 375173532 0.000019 0.015057
Four 2-4 plus black jack 400 863022792 0.000043 0.017318
Four 5-K plus black jack 160 1780551210 0.000089 0.014292
Four aces or jacks 160 8368302246 0.000420 0.067171
Four 2-4 80 9053778936 0.000454 0.036336
Four 5-10,Q,K 25 26202429360 0.001315 0.032863
Full house 9 202560451044 0.010162 0.091458
Flush 6 231319834884 0.011605 0.069628
Straight 4 261796363338 0.013134 0.052535
Three of a kind 3 1497410737884 0.075121 0.225364
Two pair 1 2343890018796 0.117587 0.117587
Jacks or better 1 4313089582038 0.216377 0.216377
Nothing 0 11033830135014 0.553539 0.000000
Total 19933230517200 1.000000 0.981028

### 8/6 Black Jack Bonus Poker - 97.09%

Hand Pays Combinations Probability Return
Royal flush 800 485848896 0.000024 0.019499
Straight flush 50 2203293672 0.000111 0.005527
Four aces plus black jack 800 375047370 0.000019 0.015052
Four 2-4 plus black jack 400 862960872 0.000043 0.017317
Four 5-K plus black jack 160 1780112094 0.000089 0.014289
Four aces or jacks 160 8361797292 0.000419 0.067118
Four 2-4 80 9053007774 0.000454 0.036333
Four 5-10,Q,K 25 26186728770 0.001314 0.032843
Full house 8 202444719468 0.010156 0.081249
Flush 6 233705700462 0.011724 0.070347
Straight 4 261695352984 0.013129 0.052514
Three of a kind 3 1496321027154 0.075067 0.225200
Two pair 1 2342178744270 0.117501 0.117501
Jacks or better 1 4307174176356 0.216080 0.216080
Nothing 0 11040401999766 0.553869 0.000000
Total 19933230517200 1.000000 0.970870

### 8/5 Black Jack Bonus Poker

Hand Pays Combinations Probability Return
Royal flush 800 84,230,862 0.000025 0.020283
Straight flush 50 352,895,795 0.000106 0.005311
Four aces plus black jack 800 62,519,462 0.000019 0.015055
Four 2-4 plus black jack 400 143,769,321 0.000043 0.017310
Four 5-K plus black jack 160 297,522,215 0.000090 0.014329
Four aces or jacks 160 1,390,898,598 0.000419 0.066987
Four 2-4 80 1,509,057,971 0.000454 0.036339
Four 5-10,Q,K 25 4,376,408,494 0.001317 0.032933
Full house 8 33,801,806,029 0.010175 0.081396
Flush 5 36,331,037,563 0.010936 0.054679
Straight 4 44,162,567,547 0.013293 0.053173
Three of a kind 3 249,913,287,762 0.075225 0.225675
Two pair 1 391,267,049,620 0.117773 0.117773
Jacks or better 1 725,989,991,988 0.218527 0.218527
Nothing 0 1,832,522,042,973 0.551598 0.000000
Total 3,322,205,086,200 1.000000 0.959770

### 7/5 Black Jack Bonus Poker

Hand Pays Combinations Probability Return
Royal Flush 800 84,223,122 0.000025 0.020281
Straight Flush 50 354,928,448 0.000107 0.005342
Four Aces with a Black Jack 800 62,425,077 0.000019 0.015032
Four 2s, 3s, 4s with a Black Jack 400 145,656,548 0.000044 0.017537
Four 5s thru Ks with a Black Jack 160 297,489,492 0.000090 0.014327
Four Aces or Jacks 160 1,388,752,339 0.000418 0.066883
Four 2s, 3s, 4s 80 1,550,773,346 0.000467 0.037343
Four 5s thru Ks 25 4,375,347,899 0.001317 0.032925
Full House 7 32,826,008,749 0.009881 0.069166
Flush 5 36,348,300,730 0.010941 0.054705
Straight 4 44,219,066,150 0.013310 0.053241
Three of a Kind 3 250,706,677,236 0.075464 0.226392
Two Pair 1 391,114,984,162 0.117728 0.117728
Jacks or Better 1 726,669,525,030 0.218731 0.218731
All Other 0 1,832,060,927,872 0.551459 0.000000
Total 3,322,205,086,200 1.000000 0.949633

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## Basic Video Poker Info

• My main Video Poker page
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• The standard deviation of n-play video poker

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