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The Bad News Bears are playing against the Houston Toros in a baseball tournament. The first team to win three games wins the tournament. The Bears have a probability of 2/3 of winning each game. Find the probability that the Bears win the tournament.

 Jan 31, 2020
 #1
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Using "W" to represent a win by the Bad News Bears and an "L" to represent a loss, the possibilitIes are:

 

W·W·W

W·W·L·W

W·W·L·L·W

W·L·W·W

W·L·W·L·W

W·L·L·W·W

L·W·W·W

L·W·W·L·W

L·W·L·W·W

L·L·W·W·W

 

Replace each "W" with 2/3 and each "L" with 1/3, do the indicated multiplications and add the results to get the answer.

 Jan 31, 2020

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