A gambler decides to play successive games of blackjack until he loses three times in a
Chapter 9, Problem 42(choose chapter or problem)
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 \(g_{n}\) be the number of ways the gambler can play n games.
a. Find \(g_{3}, g_{4}, and g_{5}\).
b. Find \(g_{6}\).
c. Find a recurrence relation for \(g_{3}, g_{4}, g_{5}, . . .\).
Text Transcription:
g_n
g_3, g_4, and g_5
g_6
g_3, g_4, g_5, . . .
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