Question

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?

Answer 1

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

Explanation:

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