Question

A tennis match requires that a player win three of five sets to win the match. If a player wins the first two sets, what is the probability that the player wins the match, assuming that each player is equally likely to win each set

Answer 1

Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, these following outcomes result in the player winning the match:

• Wins the third set, with 0.5 probability.

• Loses the third set but wins the fourth, each with 0.5 probability.

• Loses the third and fourth sets but wins the fifth, each with 0.5 probability.

Hence, the probability that he wins the match is given as follows:

p = 0.5 + 0.5² + 0.5³ = 0.875.

More can be learned about probabilities at brainly.com/question/14398287