Question

A survey of athletes at a high school is conducted, and the following facts are discovered: 24% of the athletes are football players, 55% are basketball players, and 13% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player?

Answer 1

0.66

Explanation:

Given that a survey of athletes at a high school is conducted, and the following facts are discovered: 24% of the athletes are football players, 55% are basketball players, and 13% of the athletes play both football and basketball.

Probability for a randomly chosen person is either a football player or a basketball player

=Prob for football player + Prob for basketball player -Prob for both

=
`24%+55%-13%\\=66%`

i.e. Probability reqd =0.66