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# Three Card Draw Poker

## Introduction

Three Card Draw Poker is a video poker based game. Instead of five cards there are three and instead of one deck there are four. The player may choose from two games: sevens or better and bonus poker. The player may also choose between three pay, five pay, and ten pay. The machines I have seen have been multi-coin. So far I have noticed the game at the Orleans and Caesars Palace.

## Sevens or Better

The following table shows the pay table and associated statistics for the best paytable I have seen for either variation of Three Card Draw Poker. It is available at the \$1 coinage at Caesars Palace.

### Probabilities in Three Draw Card Poker - Sevens or Better

Hand Pays Combinations Probability Return
3 suited ace of spades 800 96215784 0.000015 0.012267
3 suited aces 160 280930104 0.000045 0.007163
3 of a kind suited 80 3390178176 0.00054 0.043223
AKQ suited 80 5213655552 0.000831 0.066471
3 aces 25 12822960192 0.002044 0.051089
Straight flush 12 41454171648 0.006606 0.079277
3 of a kind 5 87660405504 0.01397 0.069851
Straight 3 547919376384 0.087321 0.261962
Suited pair 2 415505124864 0.066218 0.132436
Flush 1 486173627904 0.07748 0.07748
Pair: 7-A 1 1116492023808 0.177933 0.177933
Nothing 0 3557788920960 0.566997 0
Total 6274797590880 1 0.979153

The next pay table is available at the 25 and 50 cent coinage at Caesars Palace, and the 25 cent coinage at the Orleans.

### Probabilities in Three Draw Card Poker - Sevens or Better

Hand Pays Combinations Probability Return
3 suited ace of spades 800 96215784 0.000015 0.012267
3 suited aces 160 280930104 0.000045 0.007163
3 of a kind suited 80 3390178176 0.00054 0.043223
AKQ suited 80 5213655552 0.000831 0.066471
3 aces 25 12822960192 0.002044 0.051089
Straight flush 12 41454171648 0.006606 0.079277
3 of a kind 4 87660405504 0.01397 0.055881
Straight 3 547919376384 0.087321 0.261962
Suited pair 2 415505124864 0.066218 0.132436
Flush 1 486173627904 0.07748 0.07748
Pair: 7-A 1 1116492023808 0.177933 0.177933
Nothing 0 3557788920960 0.566997 0
Total 6274797590880 1 0.965183

The next pay table is available at the 5 and 10 cent coinage at the Orleans.

### Probabilities in Three Draw Card Poker - Sevens or Better

Hand Pays Combinations Probability Return
3 suited ace of spades 800 95397288 0.000015 0.012163
3 suited aces 160 280930104 0.000045 0.007163
3 of a kind suited 80 3390178176 0.00054 0.043223
AKQ suited 80 5209290240 0.00083 0.066415
3 aces 25 12795131328 0.002039 0.050978
Straight flush 10 39875487744 0.006355 0.063549
3 of a kind 4 87660405504 0.01397 0.055881
Straight 3 544337637888 0.08675 0.260249
Suited pair 2 414294686208 0.066025 0.13205
Flush 1 517871405568 0.082532 0.082532
Pair: 7-A 1 1116650110464 0.177958 0.177958
Nothing 0 3532336930368 0.56294 0
Total 6274797590880 1 0.952162

All the statistics in this section were based on optimal computer strategy. Following is a player strategy, which should correctly advise in all situations. It will work correctly for both the 97.92% and 95.52% return pay tables of sevens or better. To use the strategy play the hand that can be found highest on the list below. For example if you had a suited 3/4/J it would be better to play the 3/4 rather (two to a straight flush, no gap) rather than keep the pat flush.

1. Pat three aces or higher
3. Straight flush
5. Straight, three of a kind
6. Suited pair 2-K
7. Ace pair, unsuited
8. 2 to A/K/Q suited
9. Pair 7-K, unsuited
10. Two to a straight flush, no gap, except A/2
11. Flush
12. Two to a straight flush with one gap, suited A/2 & A/3
14. Two consecutive unsuited cards 6/7 to Q/K1
16. Queen
17. King
18. High card. If more than one then usually the highest one is best, however keep middle card if (1) middle card is 7-K, and (2) high card is suited with low card, and (3) there are two or more gaps between low and middle card.
19. Toss everything
Exceptions:
Hold jack and queen over ace of spades if jack is spaded.

Following are some of the hands you should never play:
• A low pair
• Two suited high cards with more than one gap
• Two unsuited high cards with one or more gap
• Unsuited king and ace

## Bonus Poker

The following is the best pay table I have seen for bonus poker. It can be found at the \$1 coinage at Caesars Palace.

### Probabilities in Three Draw Card Poker - Bonus Poker

Hand Pays Combinations Probability Return
3 suited ace of spades 800 76966272 0.000012 0.009813
3 suited aces 400 246474600 0.000039 0.015712
3 of a kind suited: 2-4 160 432790200 0.000069 0.011036
3 of a kind suited: 5-K 80 3000735360 0.000478 0.038258
AKQ suited 50 4850072064 0.000773 0.038647
3 aces 20 12728839488 0.002029 0.040571
Straight flush 12 42015063552 0.006696 0.08035
3 of a kind 6 91409142528 0.014568 0.087406
Straight 3 553149769728 0.088154 0.264463
Suited pair 2 412959407616 0.065812 0.131625
Flush 1 482377843200 0.076875 0.076875
Pair: 7-A 1 1110135527424 0.17692 0.17692
Nothing 0 3561414958848 0.567574 0
Total 6274797590880 1 0.971675

The next pay table can be found at the 25 and 50 cent coinage at Caesars Palace.

### Probabilities in Three Draw Card Poker - Bonus Poker

Hand Pays Combinations Probability Return
3 suited ace of spades 800 77132160 0.000012 0.009834
3 suited aces 400 246972264 0.000039 0.015744
3 of a kind suited: 2-4 160 433951416 0.000069 0.011065
3 of a kind suited: 5-K 80 3007163520 0.000479 0.03834
AKQ suited 50 4860688896 0.000775 0.038732
3 aces 20 12751400256 0.002032 0.040643
Straight flush 12 42126429696 0.006714 0.080563
3 of a kind 5 87660405504 0.01397 0.069851
Straight 3 554979956736 0.088446 0.265338
Suited pair 2 415336748544 0.066191 0.132383
Flush 1 485161499136 0.077319 0.077319
Pair: 7-A 1 1116155271168 0.177879 0.177879
Nothing 0 3551999971584 0.566074 0
Total 6274797590880 1 0.95769

### Probabilities in Three Draw Card Poker - Bonus Poker

Hand Pays Combinations Probability Return
3 suited ace of spades 800 77132160 0.000012 0.009834
3 suited aces 400 246972264 0.000039 0.015744
3 of a kind suited: 2-4 160 433951416 0.000069 0.011065
3 of a kind suited: 5-K 80 3007163520 0.000479 0.03834
AKQ suited 50 4860688896 0.000775 0.038732
3 aces 20 12751400256 0.002032 0.040643
Straight flush 12 42126429696 0.006714 0.080563
3 of a kind 4 87660405504 0.01397 0.055881
Straight 3 554979956736 0.088446 0.265338
Suited pair 2 415336748544 0.066191 0.132383
Flush 1 485161499136 0.077319 0.077319
Pair: 7-A 1 1116155271168 0.177879 0.177879
Nothing 0 3551999971584 0.566074 0
Total 6274797590880 1 0.94372

### Probabilities in Three Draw Card Poker - Bonus Poker

Hand Pays Combinations Probability Return
3 suited ace of spades 800 77132160 0.000012 0.009834
3 suited aces 400 246972264 0.000039 0.015744
3 of a kind suited: 2-4 160 433951416 0.000069 0.011065
3 of a kind suited: 5-K 80 3007163520 0.000479 0.03834
AKQ suited 50 4860688896 0.000775 0.038732
3 aces 20 12751400256 0.002032 0.040643
Straight flush 10 40599817728 0.00647 0.064703
3 of a kind 4 87660405504 0.01397 0.055881
Straight 3 550400120832 0.087716 0.263148
Suited pair 2 414191789568 0.066009 0.132018
Flush 1 517602003456 0.082489 0.082489
Pair: 7-A 1 1116155271168 0.177879 0.177879
Nothing 0 3526810874112 0.56206 0
Total 6274797590880 1 0.930475

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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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