Thursday, 2011-10-27

100: Arranged probability

Finding the number of blue discs for which there is 50% chance of taking two blue.

I started researching the hypergeometric distribution and thought about comparing it to a binomial distribution at large numbers before twigging that if you expand the problem it’s a quadratic Diophantine equation. There’s an online solver that provides factors for these equations and after that it was simply a matter of plugging them in.