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.

Question

Mathematics

Bruno Kirby

30 May, 08:53

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.

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Answers (1)

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Genesis Moody · Answer 1

0.5

Step-by-step 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