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Old 09-26-2005, 01:15 AM
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Default Re: Fastest way to figure out redraw pot odds

What is the math you are showing? I understand it but not wear the numbers in the first bit are coming from :

10*9/2 + 10*35 = 395 times villian gets at least one good card
the 10 is obviously number of outs, the 9/2 is what? and the 35?
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Old 09-26-2005, 09:31 PM
AaronBrown AaronBrown is offline
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Default Re: Fastest way to figure out redraw pot odds

10 is the number of outs.

10*9/2 is the number of ways villain can get two outs.

10*35 is the number of ways the villain can get one out and one non-out.

It's tempting to say there are 45 outstanding cards, so villain can get any of 10 outs times any of the 44 other cards for 440 combinations. But this double counts the 45 combinations with two outs.

When the two cards are indistinguishable, as with two outs, you have to divide by 2 to avoid double counting. When the two cards are distinguishable, as in one out and one non-out, you don't divide by 2.
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