MathDB

Albert and Kevin are playing a game. Kevin has a

10\%

chance of winning any given round in the match. If Kevin wins the first game, he wins the match. If not, he requests that the match be extended to a best of

3

. If he wins the best of

3

, he wins the match. If not, then he requests the match be extended to a best of

5

, and so forth. What is the probability that Kevin eventually wins the match? (A best of

2n+ 1

match consists of a series of rounds. The first person to reach

n + 1

winning games wins the match)

Problem Statement