numbers = [x for x in range(1, 366)] # assume you have x-1 friends with unique birthdays. Compute the # number of additional friends would you need to have to get 1 more # unique birthday with 95% probability. def computeAdditionalFriends(x): prob = (366.0 - x) / 365.0 prob = 1.0 - prob target = 0.05 count = 1 cur = prob while (cur > target): cur *= prob count += 1 return count sumTotal = [computeAdditionalFriends(y) for y in numbers] print "total: %d" % sum(sumTotal)
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