Ace on flop? Ace on Turn? Ace on River?......Odds when 10 play

[Michael]

What are the odds with ten players for an ace on the flop? Odds on the turn? Odds on the river? Thanks.

[Spyder]

The question is incomplete.

First, the number of playes is irrelevant. Second, it all depends on if you have one or more aces in your hand.

The odds to get one and only one ace on the flop, if you hold none, are: 4/50+4/49+4/48=24.5% = 75.5 to 24.5 = slightly better than 3 to 1 against.

If you hold one ace: 3/50+3/49+3/48 = 81.6 to 18.4 = slightly less than 4.5 to 1 against.

If you hold two aces: 2/50+2/49+2/48 = 87.8 to 12.2 = Slightly better than 7 to 1 against.

To catch an ace on the turn when you hold:
Zero Aces: 10.8 to 1 Against
One Ace: 14.7 to 1 against
Two Aces: 22.5 to 1 against

To catch an ace on the River when you hold:
Zero Aces: 10.5 to 1 Against
One Ace: 14.3 to 1 against
Two Aces: 22.0 to 1 against

Spyder

PS If my math is wrong, would one of you statistical geniuses please correct me [img]/images/graemlins/wink.gif[/img]