Mark is playing the computer game, "Flip the Coin". Mark starts with 64 chips. On each turn he
guesses "Heads" or "Tails" and there is a 50% probability of each
outcome. On each turn he bets
1/2
of his remaining chips; he will either lose or
win that number of chips. In his first 6 turns, Mark loses
2 times and wins 4 times. What is the maximum
number of chips he could have after these 6 turns?
A. 72
B. 81
C. 96
D. 104
E. 12