If a coin is tossed 2,000,000 times, what is the probability that it will come up exactly 1,000,000 times each heads and tails?

I figured the problem out to be the same as:

The product of ((2,000,001-n)/n) as n goes from 2 to 500,000 then multiplied by 2^(-1,499,999). Although this probably gives no insight at all, I thought it looked cool. Uh, huh huh.

Posted by Marc on 2003-03-09 07:34:16