Assume that the team plays 7 games. If the team is equally likely to win as...
Assume that the team plays 7 games.
If the team is equally likely to win as to lose each game, what is the probability that they win a string of at least 5 games in a row?
Homework Answers
Game played, n = 7
Probability of winning = 1/2 = 0.5
Total number of ways = 27 = 128
The possibilities that lead to 5 or more wins in a row in 7
games are as follows:
WWWWWWW
WWWWWWL
WWWWWLW
WWWWWLL
WLWWWWW
LWWWWWW
LWWWWWL
LLWWWWW
Probability that they win a string of at least 5 games in a row = 8/128 = 0.0625
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