a Two students A and B play a game of chance Student A plays

a.) Two students, A and B play a game of chance: Student A plays $2 to play. He is then allowed to flip a coin at most 5 times. If on the first time tails appears, student A gets $1 and the game ends, Otherwise, student A flips again, if tails appears, he gets $2. They continue so that if the first time tails appears is on the third toss student A gets $4, the fourth toss, $8, and the fifth toss $16. What is student A\'s expected value for this game?

b.) If a four card hand is drawn at random from a standard deck of cards, What is the expected value of the following (ace, two, jack or five) ?