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Last Updated: June 2, 2014

Multi-Hand Ultimate 4 of a Kind Bonus

Introduction

Multi-Hand Ultimate 4 of a Kind Bonus is a video poker variant by IGT. It plays like conventional video poker. However, for a sixth coin bet, the player can enable a bonus feature for attaining a four of a kind on the draw.

This page refers to the multi-hand version of the game only. The rules are a little different for the single-hand version, which can be found in my page on Single-Line Ultimate 4 of a Kind Bonus.

Rules

For 1 to 5 coins bet, the game plays like ordinary video poker. If the player bets a 6th coin, he will be eligible to play a bonus game if he gets any natural four of a kind on the draw.

In the bonus game, the player picks from 1 to 3 cards from a 53-card deck. Four aces will earn 3 picks, four 2-4's will earn two picks, and four 5's to K's will earn one pick. If the player gets more than one four of a kind, then he will get the sum of all picks earned for each one.

Unlike the rules for the single-line version of this game, a four of a kind on the deal does not earn an extra pick, and picking the joker does not end the bonus.

The win for each card drawn depends on the game, as follows.

Bonus Wins

Game Joker Ace 2-4 5-K
Bonus Poker 4000 400 260 200
Bonus Poker Deluxe 4000 400 245 205
Deuces Wild 4000 500 360 200
Double Bonus 4000 400 260 200
Double Double Bonus 4000 400 235 200
Jacks or Better 4000 400 280 200
Triple Double Bonus 4000 400 290 200

Bonus Analysis

The following table shows the average bonus win in coins according to the game and type of four of a kind in the initiating hand.

Bonus Probabilities — No Joker

Game Ace 2-4 5-King
Bonus Poker 901.13 600.75 300.38
Bonus Poker Deluxe 901.13 600.75 300.38
Deuces Wild 991.70 661.13 330.57
Double Bonus 901.13 600.75 300.38
Double Double Bonus 884.15 589.43 294.72
Jacks or Better 914.72 609.81 304.91
Triple Double Bonus 921.51 614.34 307.17

Jacks or Better

The following table shows the wins return for 8-5 Jacks or Better. The "Base Pay" column shows the standard video poker win per coin bet, based on five coins bet. The "Bonus" column shows the bonus win, divided by 5, to be consistent with the Base Pay column. The return is the product of the total win, the probability, and 5/6. The reason for multiplying by 5/6 is because the player must bet a sixth coin to be eligible for the bonus. The lower right cell shows a return of 97.95%.

"8/5" Jacks or Better

Hand Base Pay Bonus Total Combinations Probability Return
Royal flush 800 0 666.67 41,501,670 0.000025 0.016656
Straight flush 50 0 41.67 164,933,769 0.000099 0.004137
Four aces 25 914.72 173.29 358,839,558 0.000216 0.037434
Four 2-4 25 609.81 122.47 913,668,988 0.000550 0.067362
Four 5-K 25 304.91 71.65 2,727,887,707 0.001642 0.117666
Full house 8 0 6.67 18,587,380,617 0.011190 0.074599
Flush 5 0 4.17 16,641,004,026 0.010018 0.041742
Straight 4 0 3.33 18,138,475,909 0.010920 0.036398
Three of a kind 3 0 2.50 126,031,537,634 0.075872 0.189681
Two pair 2 0 1.67 216,915,536,844 0.130585 0.217642
Jacks or better 1 0 0.83 351,243,165,093 0.211452 0.176210
Loser 0 0 0.00 909,338,611,285 0.547431 0.000000
Total 1,661,102,543,100 1.000000 0.979528

The return for ordinary "8/5" Jacks or Better is is 97.30%. So, the player should bet the full six coins.

Bonus Poker

The following table shows the wins return for 8-5 Bonus Poker. The "Base Pay" column shows the standard video poker win per coin bet, based on five coins bet. The "Bonus" column shows the bonus win, divided by 5, to be consistent with the Base Pay column. The return is the product of the total win, the probability, and 5/6. The reason for multiplying by 5/6 is because the player must bet a sixth coin to be eligible for the bonus. The lower right cell shows a return of 97.95%.

"8/5" Bonus Poker

Hand Base Pay Bonus Total Combinations Probability Return
Royal flush 800 0 666.67 41,543,294 0.000025 0.016673
Straight flush 50 0 41.67 162,641,697 0.000098 0.004080
Four aces 80 901.13 216.86 361,123,933 0.000217 0.047144
Four 2-4 40 600.75 133.46 913,773,994 0.000550 0.073416
Four 5-K 25 300.38 70.90 2,727,340,188 0.001642 0.116403
Full house 8 0 6.67 18,594,591,975 0.011194 0.074628
Flush 5 0 4.17 16,565,402,329 0.009973 0.041552
Straight 4 0 3.33 18,055,319,757 0.010869 0.036232
Three of a kind 3 0 2.50 126,104,650,190 0.075916 0.189791
Two pair 2 0 1.67 217,013,311,620 0.130644 0.217740
Jacks or better 1 0 0.83 351,069,179,052 0.211347 0.176123
Loser 0 0 0.00 909,493,665,071 0.547524 0.000000
Total 1,661,102,543,100 1.000000 0.993781

The return for ordinary "8-5" Bonus Poker is is 99.17%. So, the player should bet the full six coins.

Strategy

The player should always bet the full six coins. As for knowing what to throw away and keep, you may use my video poker strategy analyzer, putting in the balanced win between the base win and bonus, as I did in the return tables above, for the pay for each hand.

Table of Returns

IGT, the game maker, was kind enough to provide me the list of all games, pay tables, and returns this game is available in. As usual, the return assumes optimal strategy. The following table summarizes this information.

Summary of Games

Game Pay Table Return
Bonus Poker 8/5/4/3/2 99.38%
Bonus Poker 7/5/4/3/2 98.45%
Bonus Poker 6/5/4/3/2 97.57%
Bonus Poker 10/8/4/3/1 96.13%
Bonus Poker Deluxe 9/6 99.93%
Bonus Poker Deluxe 9/5 99.05%
Bonus Poker Deluxe 8/5 98.35%
Bonus Poker Deluxe 7/5 97.66%
Deuces Wild 25/15/9/4/4/3 99.21%
Deuces Wild 20/12/10/4/4/3 98.04%
Deuces Wild 25/16/13/4/3/2 97.90%
Deuces Wild 20/10/8/4/4/3 96.77%
Double Bonus 9/7/5 99.46%
Double Bonus 9/6/5 98.47%
Double Bonus 9/6/4 97.38%
Double Bonus 9/5/4 96.49%
Double Double Bonus 9/6 99.27%
Double Double Bonus 9/5 98.40%
Double Double Bonus 8/5 97.53%
Double Double Bonus 7/5 96.82%
Double Double Bonus 6/5 96.11%
Jacks or Better 8/5 97.95%
Jacks or Better 7/5 97.02%
Triple Double Bonus 9/7 99.75%
Triple Double Bonus 9/6 98.68%
Triple Double Bonus 9/5 97.82%
Triple Double Bonus 8/5 96.94%

Best Online Casino Video Poker Bonuses

Rank Casino Bonus % Wager Cash  
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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

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Video Poker Calculator

  • Analyze the return for almost any video poker paytable

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Strategies

Full-Pay Jacks or Better:

Full-Pay Deuces Wild:

Quick Quads:

Other Strategies:



Written by: Michael Shackleford

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