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allochka39001 [22]
3 years ago
7

James plays Mahir in tennis. From James' past experience, he believes he has a 60% chance of winning. Assume the outcome of each

match is independent. What are the chances of Mahir winning all 3 games against James?
Mathematics
1 answer:
denis-greek [22]3 years ago
3 0

The chances of Mahir winning all 3 games against James is 0.064

<u>Explanation:</u>

Given:

James chances of winning = 60%

Therefore,

Mahir chances of winning = 100 - 60%

                                           = 40%

Total number of matches = 3

Total percent of winning = 100%

Thus,

The chances of Mahir winning = \frac{40}{100} X \frac{40}{100} X \frac{40}{100} \\

                                                   = 0.064

Therefore, the chances of Mahir winning all 3 games against James is 0.064

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