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Last Updated: December 3, 2016

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
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
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


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My Video Poker Offerings

Basic Video Poker Info

  • My main Video Poker page
  • Return tables:
  • Probability of Ruin for single-play video poker
  • Random simulations of multi-play video poker
  • The standard deviation of n-play video poker

Practice / Play Video Poker for Free

Video Poker Calculator

  • Analyze the return for almost any video poker paytable

Other Stuff

Strategies

Full-Pay Jacks or Better:

Full-Pay Deuces Wild:

Quick Quads:

Other Strategies:

Written by: Michael Shackleford

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