Question

The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.3 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.3. The probability that a randomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomly selected person either has high blood pressure or is a runner or both.

Answer 1

0.5

Explanation:

P(H) = 0.3

P(R) = 0.3

P(H⋂R) = 0.1 (probability that a randomly selected person has high blood pressure and is a runner)

Using the equation

P(H⋃R) = P(H) + P(R) - P(H⋂R)

This equation gives the probability of person either having high blood pressure or is a runner.

Substituting the values given:

P(H⋃R) = 0.3 + 0.3 - 0.1

P(H⋃R) = 0.5