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Old 07-February-2008, 08:59 PM
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tdvance tdvance is offline
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Join Date: Apr 2006
Location: Bowie, MD
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very interesting problem, whose answer depends on how it is modeled. Say, there were 100,000 possible voters for Clinton or Obama, 50,000 of each, of which 12,002 made it to the polls. Assuming the 12,002 were selected randomly, what are the chances that 6001 come from each camp?

There are (50,000 choose 6001) ways to select 6001 voters for one camp. Square that to get the total number of ways to choose 6001 of each camp to vote.

Then, divide it by the (100,000 choose 12,002) ways the voters could have been selected.

According to Mathematica, this is a 9059-digit number over a 9061-digit number. Evaluated numerically gives about 0.00776368, or one in 128.8

It's not all that unlikely.
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