Question

You have 2 buckets. one full of white marbles and the other full of black marbles. how do you allocate the marbles into buckets in a way that maximizes your probability of picking 2 white ones when you pick 1 marble from each bucket?

Answer 1

the only way I can think of is to split the buckets in half with half of the black mables and half of the white marbles in each bucket