Bill and his friend Ted decide to play a game where they flip a fair coin, and then close

their eyes and pick a marble from a bag. There are three marbles in the bag: one is

blue, one is green, and one is red.

(a) Determine the sample space for the game.

(b) Bill bets Ted $5 that he will flip heads and pull out either a blue or a red marble from the bag. Let's call this event A. List all the outcomes of A, and then determine the probability that Bill wins the bet.