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Last Updated: January 23, 2019

# Max Out Poker

## Introduction

Max Out Poker is a video poker variation I noticed in Caesars Palace in May, 2005. The game is essentially the same as multi-play video poker, except one hand is more heavily weighted, and a more liberal pay table is used on the other hands.

## Rules

The player plays video poker normally with 1 to 5 coins bet. For coins 6 to 8 the player buys extra hands, which follow a slightly more liberal pay table. The extra hands start with the same cards the player keeps on the deal, as in multi-play video poker.

## Return Tables

I'll call the hand the player bets coins 1 to 5 on the "big hand" because the player bets more on it, and the cards are displayed larger. The "small hands" are the additional three hands for coins 6 to 8. With the max 8 coins bet the total pay for a hand is 5*(big hand return) + 3*(small hand return). With this total win standard video poker analyzers can be used to evaluate the return. The return column in the following tables is the probability*(total win)/8.

### Max Out Poker - Jacks or Better

Hand Big Hand Pays Small Hands Pay Total Pay Combinations Probability Return
Royal flush 800 2000 10000 611374332 0.000031 0.038339
Straight Flush 50 125 625 2444009004 0.000123 0.009579
Four of a Kind 25 50 275 47011821396 0.002358 0.081072
Full House 7 17 86 228636474084 0.01147 0.123304
Flush 5 5 40 234089906424 0.011744 0.058719
Straight 4 4 32 261308756424 0.013109 0.052437
Three of a kind 3 3 24 1473532107036 0.073923 0.22177
Two pair 2 2 16 2550902134572 0.127972 0.255945
Pair 1 0 5 3952432723788 0.198284 0.123927
Nonpaying hand 0 0 0 11182261210140 0.560986 0
Total 19933230517200 1 0.965091

### Max Out Poker - Bonus Poker

Hand Big Hand Pays Small Hands Pay Total Pay Combinations Probability Return
Royal flush 800 2000 10000 612614556 0.000031 0.038417
Straight Flush 50 80 490 2330134980 0.000117 0.00716
Four aces 80 200 1000 4080196212 0.000205 0.025587
Four 2-4 40 80 440 10517771964 0.000528 0.029021
Four 5-K 25 50 275 32463756612 0.001629 0.055984
Full House 6 14 72 228869295732 0.011482 0.103336
Flush 5 5 40 232461161544 0.011662 0.05831
Straight 4 4 32 253157020176 0.0127 0.050801
Three of a kind 3 3 24 1476410703984 0.074068 0.222203
Two pair 2 2 16 2556244301544 0.12824 0.256481
Pair 1 0 5 3973776511968 0.199354 0.124596
Nonpaying hand 0 0 0 11162307047928 0.559985 0
Total 19933230517200 1 0.971896

### Max Out Poker - Double Bonus

Hand Big Hand Pays Small Hands Pay Total Pay Combinations Probability Return
Royal flush 800 2000 10000 579476316 0.000029 0.036339
Straight Flush 50 100 550 2423293812 0.000122 0.008358
Four aces 160 400 2000 4581136236 0.00023 0.057456
Four 2-4 80 160 880 10505799216 0.000527 0.057975
Four 5-K 50 100 550 32171730540 0.001614 0.110961
Full House 9 18 99 213613674264 0.010716 0.132616
Flush 5 7 46 266880758892 0.013389 0.076985
Straight 4 4 32 291861165312 0.014642 0.058568
Three of a kind 3 3 24 1473709023900 0.073932 0.221797
Two pair 1 0 5 2398633864020 0.120333 0.075208
Pair 1 0 5 3856127968296 0.193452 0.120908
Nonpaying hand 0 0 0 11382142626396 0.571013 0
Total 19933230517200 1 0.957171

### Max Out Poker - Deuces Wild

Hand Big Hand Pays Small Hands Pay Total Pay Combinations Probability Return
Natural royal flush 800 2000 10000 512436444 0.000026 0.032135
Four deuces 200 1000 4000 4099162824 0.000206 0.102822
Wild royal flush 25 40 245 40448685744 0.002029 0.062145
Five of a kind 15 25 150 61008605976 0.003061 0.057387
Straight flush 10 15 95 92346494184 0.004633 0.055014
Four of a kind 4 5 35 1236366703008 0.062025 0.271361
Full House 3 3 24 518039618256 0.025989 0.077966
Flush 2 2 16 402919969476 0.020213 0.040427
Straight 2 1 13 1046143182396 0.052482 0.085284
Three of a kind 1 0 5 5345827634160 0.268187 0.167617
Nonpaying hand 0 0 0 11185518024732 0.561149 0
Total 19933230517200 1 0.952158

### Max Out Poker - Bonus Poker Deluxe

Hand Big Hand Pays Small Hands Pay Total Pay Combinations Probability Return
Royal flush 800 2000 10000 608875428 0.000031 0.038182
Straight Flush 50 125 625 2427099432 0.000122 0.009513
Four of a Kind 80 200 1000 49503227292 0.002483 0.310432
Full House 6 6 48 162617338764 0.008158 0.048949
Flush 5 5 40 238372136280 0.011959 0.059793
Straight 4 4 32 305200890852 0.015311 0.061245
Three of a kind 3 3 24 1544382513720 0.077478 0.232433
Two pair 1 0 5 2137041798480 0.10721 0.067006
Pair 1 0 5 4167412796952 0.209069 0.130668
Nonpaying hand 0 0 0 11325663840000 0.56818 0
Total 19933230517200 1 0.95822

## Strategy

All I will say about the strategy is that the player should play the max 8 coins. The return for playing 8 coins averaged 0.4% higher than that for 5 coins on the machines at Caesars Palace. Conventional strategy software like Video Poker Strategy Master by Tom Ski can be used to create a strategy using 5*(big hand)+3*(small hand) for each win in the pay table.

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## 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

## Video Poker Calculator

• Analyze the return for almost any video poker paytable

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