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Noo Yawk
12-18-2003, 07:45 PM
If I held a suited connecter, what are the odds that I flop a flush draw, straight draw, straight flush draw, two pair or better made hands. I'm looking to get the odds of all these together. Thanks in advance.

bigpooch
12-19-2003, 12:29 PM
Let's suppose you have a no gap suited connector (anything
from JTs to 54s so that the maximum number of straights are
possible). There are C(50,3) = 19600 possible flops.

Quads or full house: C(6,3) = 20
Trips: 2x3x44 = 264
Two pairs: 3x3x44 = 396

Flush(incl. straight flush): C(11,3) = 165
Flush draw: C(11,2) x 39 = 2145

The following exclude the flushes and flush draws above:

Straight: 4x(64-1-3x3)= 216 (note: must exclude 4flush)
Openender with no pair: 3x(7x(64-1-3x3)+2x(6x4-3)) = 1260
Pair+open ender: 2x3x3x(16-1) = 270
Double gutter: 2x(64-1-3x3) = 108

Altogether there are 4844 combinations which gives a
probability of 0.24714 which is almost 1/4 of the time!

Another flop that is good that I have not included is one
that gives a gut shot and two overcards; obviously, that
would depend on the specific holding.

Anyone want to double check these figures?

Noo Yawk
12-19-2003, 04:26 PM
Thanks Bigpooch, your're the man!