Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
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
Do you need to solve each one?
