Every time John uses a piece of scrap paper, he crumples it up and tries to shoot it inside a recycling bin. If he shoots 5 pieces of paper, at least one of the pieces will make it inside the recycling bin with the probability 211/243. If John shoots 6 pieces of paper at the recycling bin, what's the probability at least two of them make it inside the recycling bin? Assume the probability that John makes any given shot is uniform across every shot.

mathmathj28 Feb 10, 2020