
BigKulpPoker
Enthusiast
Silver Level
Crazy hand. Dream spot.
The probability of three players flopping a flush is once every 433 hands.
I don't know the odds, but I have seen this happen in one hand, of course the player with the highest card would win outright, and if you think about it logically there is a possibility that 5 players could theoretically hit a flush.
The probability of three players flopping a flush is once every 433 hands.
1/((12/51)*(11/50)*(10/49)*(9/48)*(8/47)*(7/46)*(6/45)*(5/44))
1/((11/50)*(9/48)*(7/46)*(6/45)*(5/44))
THANK YOU! when people run these odds, they assume everyone starts with suited cars, which is obviously not the case.That's with the big assumption that the 3 players already happen to hold 6 cards of the same suit, which happens about once per 2966 hands. If we assume that they hold random cards instead, then the probability for a triple flush on the flop is more like 1 in 1286390:
Code:1/((12/51)*(11/50)*(10/49)*(9/48)*(8/47)*(7/46)*(6/45)*(5/44))
If 5 players with random hands see a flop, all 5 will have a flush once in 158753389900 draws.
If we assume that 3 players hold suited hole cards, the chance for them to hold the same suit and to flop a flush is about 1 in 10514.
Code:1/((11/50)*(9/48)*(7/46)*(6/45)*(5/44))
I’ve had a 4 person hand where we all had at least 1 heart with 4 on the board, I lost with the K
That's with the big assumption that the 3 players already happen to hold 6 cards of the same suit, which happens about once per 2966 hands.
If you have suited cards, you flop a flush | 0.8418% | 1:118 |
If two players have suited cards, both flop a flush | 0.4857% | 1:205 |
If three players have suited cards, all three flop a flush | 0.2306% | 1:433 |
Heads-Up, both players are dealt suited cards and flop a flush | 0.0051% | 1:19,490 |
Two players at a 6-max-table are dealt suited cards and both flop a flush | 0.0770% | 1:1,298 |
Two players at a full ring table are dealt suited cards and both flop a flush | 0.1847% | 1:540 |
Three players at a 6-max-table are dealt suited cards and all three flop a flush | 0.0012% | 1:85,758 |
Three players at a full ring table are dealt suited cards and all three flop a flush | 0.0035% | 1:28,585 |
These odds are wrong. Players always have suited cards?I would disagree, If 3 players hold 6 cards of the same suit the chance is 1:433 or 0.2306%
If you have suited cards, you flop a flush 0.8418% 1:118 If two players have suited cards, both flop a flush 0.4857% 1:205 If three players have suited cards, all three flop a flush 0.2306% 1:433 Heads-Up, both players are dealt suited cards and flop a flush 0.0051% 1:19,490 Two players at a 6-max-table are dealt suited cards and both flop a flush 0.0770% 1:1,298 Two players at a full ring table are dealt suited cards and both flop a flush 0.1847% 1:540 Three players at a 6-max-table are dealt suited cards and all three flop a flush 0.0012% 1:85,758 Three players at a full ring table are dealt suited cards and all three flop a flush 0.0035% 1:28,585
No, but in this case they had... And the question is what is the chance of that player hitting a flush on the flop, and the answer is 1:433These odds are wrong. Players always have suited cards?