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YAY MATH lol and a touch of FLUSH info

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YAY MATH lol and a touch of FLUSH info - Wed Mar 23, 2011, 09:16 PM
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DJ-RogueXXV's Avatar
Since: Feb 2011
Posts: 6
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Never thought I would say that, bah who am I kidding loved math in school now I get to use it in fun but I don't think I can love it as much as this guy, I have sent in a couple math questions to him he ALWAYS works his magic Hold 'em Math hope its ok to post that but its for the math I dont get anything for the link just helpin others with the math. My big question was FLUSHES. as noted below was his answer.

With suited hole cards:

Flush after flop: combin(11,3)/combin(50,3) = 165/19,600 = 0.842%.
Flush after turn: (combin(11,2)*39/combin(50,3))*(9/47) = 2.096%.
Flush after river: (combin(11,2)*combin(39,2)/combin(50,4))*(9/46) = 3.462%.

With unsuited hole cards:

Flush after flop: 0%
Flush after turn: 2*combin(12,4)/combin(50,4) = 0.430%.
Flush after river: (2*combin(12,3)*39/combin(50,4))*(9/46) = 1.458%.

Here are the comulative probabilities.

With suited hole cards:

Flush by flop: 0.842%.
Flush by turn: 2.937%.
Flush by river: 6.400%.

With unsuited hole cards:

Flush by flop: 0.000%
Flush by turn: 0.430%.
Flush by river: 1.888%.

Just a nice piece of info
 

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