A Poker Player Is Dealt Poor Hands for Several Hours

Multiple Choice

A poker player is dealt poor hands for several hours. He decides to bet heavily on the last hand of the evening on the grounds that after many bad hands he is due for a winner.

A) He's right, because the winnings have to average out.
B) He's wrong, because successive deals are independent of each other.
C) He's right, because successive deals are independent of each other.
D) He's wrong, because his expected winnings are $0 and he's below that now.