Really could use some help:
Two hats contain red and blue marbles with the following distributions: hat #1 has 2 red and 8 blue marbles and hat #2 has 8 red marbles and 2 blue marbles. Kathy selects a hat at random and randomly pulls out 2 marbles (without replacement). Both are blue. If she switches hats, what is the probability that she will now select a red marble?