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Old 11-08-2007, 08:28 PM
Siegmund Siegmund is offline
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Join Date: Feb 2005
Posts: 1,850
Default Re: Prob. of flush in 7 card stud with three-flush after 4th street?

Well, 10/46*9/45 is 4.34%, not 26%, for a start.

Counting more carefully to avoid duplicates:

You can get three spades, 10/46*9/45*8/44 = 0.79%

Or, you can get spade spade plain suit, or spade plain suit spade, or plain suit spade spade: 10/46*9/45*36/44 = 3.56% each of three ways, for a total of 0.79+3x3.56=11.5%. That's about 9 in 1 or 8 to 1. It will move by about 0.4% for each additional non-spade you see.
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