Last Updated: December 11, 2002

3-5-7 Poker

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3-5-7 Poker is a simple poker based game slowly finding a home in the casinos. It is actually 3 games in 1, the player can bet on a 3, 5, and 7 card hand and is paid according to the poker value of each.

Rules

Play begins with the player making 2 or 3 wagers. The player must bet on the 3 card and 5 card hand, the 7 card hand is optional. The player may bet any amount on any hand, subject to the table minimum and maximum.

After all players have bet, the dealer will give 3 cards to each player and 4 to himself, face down. Based on his first three cards the player may surrender half his 7 card bet if he wishes, in other words the dealer gets half the 7 card bet and the player gets back the other half.

The following pay tables show what each hand pays for each bet.

3-Card Hand Pay Table

Hand Pays
Straight flush 40 to 1
Three of a kind 25 to 1
Straight 6 to 1
Flush 4 to 1
Pair 1 to 1
Nothing Loss

5-Card Hand Pay Table

Hand Pays
Royal flush 500 to 1
Straight flush 100 to 1
4 of a kind 40 to 1
Full House 12 to 1
Flush 9 to 1
Straight 6 to 1
3 of a kind 4 to 1
2 pair 3 to 1
Pair (6's or better) 1 to 1
Nothing Loss

7-Card Hand Pay Table

Hand Pays
Royal flush 100 to 1
Straight flush 20 to 1
4 of a kind 7 to 1
Full House 5 to 1
Flush 4 to 1
Straight 3 to 1
3 of a kind 2 to 1
2 pair (10's high or better) 1 to 1
Other Loss

Strategy

The player should never surrender. Since the 7 card hand has the lowest house edge I would recommend betting the most on that, and the least on the 5 card hand.

Statistics

The following tables show the probabilities and return for each hand for all 3 bets.

3-Card Hand Return Table

Hand Combinations Probability Pays Return
Straight flush 48 0.002172 40 0.086878
Three of a kind 52 0.002353 25 0.058824
Straight 720 0.032579 6 0.195475
Flush 1096 0.049593 4 0.198371
Pair 3744 0.169412 1 0.169412
Nothing 16440 0.743891 -1 -0.743891
22100 1 0 -0.034932

5-Card Hand Return Table

Hand Combinations Probability Pays Return
Royal flush 4 0.000002 500 0.00077
Straight flush 36 0.000014 100 0.001385
4 of a kind 624 0.00024 40 0.009604
Full House 3744 0.001441 12 0.017287
Flush 5108 0.001965 9 0.017689
Straight 10200 0.003925 6 0.023548
3 of a kind 54912 0.021128 4 0.084514
2 pair 123552 0.047539 3 0.142617
pair (6's or better) 760320 0.292548 1 0.292548
Nothing 1640460 0.631199 -1 -0.631199
Total 2598960 1 0 -0.041238

7-Card Hand Return Table

Hand Combinations Probability Pays Return
Royal flush 4324 0.000032 100 0.003232
Straight flush 37260 0.000279 20 0.00557
4 of a kind 224848 0.001681 7 0.011765
Full House 3473184 0.025961 5 0.129805
Flush 4047644 0.030255 4 0.12102
Straight 6180020 0.046194 3 0.138581
3 of a kind 6461620 0.048299 2 0.096597
2 pair (10's high or better) 20598408 0.153967 1 0.153967
Other 92757252 0.693333 -1 -0.693333
Total 133784560 1 0 -0.032795

The next table summarizes the house edge of each bet.

House Edge Summary

Bet House Edge
3 3.49%
5 4.12%
7 3.28%

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