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Cant find a need stat re: Flop Texture Cant find a need stat re: Flop Texture

09-03-2009 , 07:31 PM
Anyone know where to find the stat for the probability that the flop will contain 1 Broadway vs 2 vs 3. Cant find it anywhere.
Cant find a need stat re: Flop Texture Quote
09-03-2009 , 09:26 PM
You can find it right here. If you do not include any cards held by players, there are 52 cards available for the flop, 20 of which are broadway and 32 not. Then the probability of b broadway on the flop is
C(20,b)C(32,3-b)/C(52,3),
where
C(n,r) = n!/[r!(n-r)!], k!=k*(k-1) * (k-2) *...*3*2*1,
the number of combinations of n things taken r at a time.

The results are
b Prob
3 0.05158371
2 0.275113122
1 0.448868778
0 0.224434389

If you want to take into account only your holding, then the number of unknown cards is 50; the number of broadway in the deck is 20 - number broadway in your hand; number non-broadway in the deck = 32 - number non-broadway in your hand.

For example, if you have two non broadway cards, the probability of 2 broadway on the flop is

C(20,2)C(30,1)/C(50,3)=0.2908
Cant find a need stat re: Flop Texture Quote
09-04-2009 , 01:13 AM
Thanks.
Cant find a need stat re: Flop Texture Quote
09-05-2009 , 05:53 PM
Quote:
Originally Posted by rafdogg2000
grazie
Cant find a need stat re: Flop Texture Quote

      
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