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Old 08-15-2005, 07:44 PM
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Default Re: Another Boredom Filler

I can't believe you posted this problem. It has become a bit of an obsession of mine in that I don't know how to solve it analytically and neither does anyone else I know. I've asked some math professors, the wizard of odds (which by the way isn't too good at difficult problems despite having an otherwise nice gambling odds website) and my brother who has gotten an 800 on every SAT/GRE/LOGIC/SAT Subject Tests related to math/physics he ever took.

Anyway, you can write a Monte Carlo program to solve the problem and I am 100% positive the odds of making it through the deck without ever saying the same card that you flip over is 1:61

I have a spreadsheet of the odds of making it through X cards. So if you are interested in seeing the probability at different points in the deck I can send it to you.
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