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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.
- Pat three aces or higher
- Two ace of spades
- Straight flush
- Suited aces, except spaded
- Straight, three of a kind
- Suited pair 2-K
- Ace pair, unsuited
- 2 to A/K/Q suited
- Pair 7-K, unsuited
- Two to a straight flush, no gap, except A/2
- Flush
- Two to a straight flush with one gap, suited A/2 & A/3
- Ace of spades
- Two consecutive unsuited cards 6/7 to Q/K1
- Ace, except spades
- Queen
- King
- 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.
- Toss everything
- 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
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 |