A box contains 5 red marbles and 10 blue marbles. You can take 3 marbles at random, without replacement. You win a dollar if all 3 marbles are the same color.
(a) What is the probability of winning this game?
(b) Given that your friend played the game and won, what is the probability all the marbles she got were blue?
(c) If you play the game 5 times (replacing the marbles after each round), what is the chance you win at least twice?