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Old 09-26-2005, 09:31 PM
AaronBrown AaronBrown is offline
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Join Date: May 2005
Location: New York
Posts: 505
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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