Question: A gambler decides to play successive games of blackjack until he loses three times in a row. (Thus the gambler could play five games by losing the first, winning the second, and losing the final three or by winning the first two and losing the final three. These possibilities can be symbolized as LWLLL and WWLLL.) Let gn be the number of ways the gambler can play n games.
a. Find g3, g4, and g5.
b. Find g6.
c. Find a recurrence relation for g3, g4, g5,....