3-5-7 Poker

Dawid Malan target

3-5-7 Poker

3-5-7 Poker

July 12, 2021

Author 77baji

3-5-7 Poker is a poker-based game that is gradually making its way into casinos. It's essentially three games in one: the player can wager on a 3, 5, or 7-card hand, with payouts based on the poker value of each.

Rules of 3-5-7 Poker
The game begins with the participant placing two or three bets. The player must wager on the three and five-card hands; the seven-card hand is optional. On any hand, the player may stake any amount up to the table minimum and maximum.

After all, players have placed their bets. The dealer will deal three cards to the player and four to himself, all of which will be dealt face down. If the player desires, he may forfeit half of his 7-card wager based on his first three cards; in other words, the dealer receives half of the 7-card bet, and the player gets the other half.

The pay tables below illustrate how much each hand pays for each stake.

3-Card Hand Pay Table
HAND PAYS
Straight flush 40:1
Three of a kind 25:1
Straight 6:1
Flush 4:1
Pair 1:1
Nothing Loss


5-Card Hand Pay Table
HAND PAYS
Royal flush 500:1
Straight flush 100:1
4 of a kind 40:1
Full House 12:1
Flush 9:1
Straight 6:1
3 of a kind 4:1
2 pair 3:1
Pair (6's or better) 1:1
Nothing Loss


7-Card Hand Pay Table
HAND PAYS
Royal flush 100:1
Straight flush 20:1
4 of a kind 7:1
Full House 5:1
Flush 4:1
Straight 3:1
3 of a kind 2:1
2 pair (10's high or better) 1:1
Other Loss


Strategy of 3-5-7 Poker
The player must never give up. I would advocate spending the most on the 7 card hand and the least on the 5 card hand because the 7 card hand has the lowest house edge.

The probabilities and returns for each hand for all three bets are shown in the tables below.

3-Card Hand Return Table
HAND PROBABILITY PAYS RETURN
Straight flush 0.22% 40 8.69%
Three of a kind 0.24% 25 5.88%
Straight 3.26% 6 19.55%
Flush 4.96% 4 19.84%
Pair 16.94% 1 16.94%
Nothing 74.39% -1 -74.39%
100.00% 0 -3.49%


5-Card Hand Return Table
HAND PROBABILITY PAYS RETURN
Royal flush 0.00% 500 0.08%
Straight flush 0.00% 100 0.14%
4 of a kind 0.02% 40 0.96%
Full House 0.14% 12 1.73%
Flush 0.20% 9 1.77%
Straight 0.39% 6 2.35%
3 of a kind 2.11% 4 8.45%
2 pair 4.75% 3 14.26%
pair (6's or better) 29.25% 1 29.25%
Nothing 63.12% -1 -63.12%
Total 100.00% 0 -4.12%


7-Card Hand Return Table
HAND PROBABILITY PAYS RETURN
Royal flush 0.00% 100 0.32%
Straight flush 0.03% 20 0.56%
4 of a kind 0.17% 7 1.18%
Full House 2.60% 5 12.98%
Flush 3.03% 4 12.10%
Straight 4.62% 3 13.86%
3 of a kind 4.83% 2 9.66%
2 pair (10's high or better) 15.40% 1 15.40%
Other 69.33% -1 -69.33%
Total 100.00% 0 -3.28%


House Edge Summary
BET HOUSE EDGE
3 3.49%
5 4.12%
7 3.28%