#1
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Odds the board pairs?
What are the odds of the board pairing? Any two cards at any point.. I calculated it as 25% but that feels wrong to me..
I'm basically figuring.. First card, 0/52 Second card, 3/51 (3 chances to pair previous) Third card, 6/50 (3 chances to pair either previous) Turn, 9/49 (etc..) River, 12/48 Am I retarded? [img]/images/graemlins/blush.gif[/img] |
#2
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Re: Odds the board pairs?
Asuming you don't look at your hole cards the odds of the board exactly pairing once are 13*C(4,2)*48*44*40/6 divided by C(52,5)=42.3% The odds of no matching cards appearing in dummy are (52*48*44*40*36/5!)/C(52,5)=50.7%.
C(X,Y)=X!/(Y!*(X-Y)!) which represents the number of unique combinations of Y items from a pool of size X. |
#3
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Re: Odds the board pairs?
...and the probability that a pair occurs ON THE FLOP...
For each rank, there are (4 choose 2) = 6 possible ways to make a pair. Each of those goes with 48 possible 3rd cards. So it's 13*6*48/(52 choose 3) = .1694 |
#4
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Re: Odds the board pairs?
Argh. Speaking of which..
I hold 2 2 Flop : 8 K K Other guy bets small, all fold but me Turn : 2 Guy bets, I raise he calls River : 8 I'm sure you know the rest.. |
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