Question

"The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.5" "Find the probability that a randomly selected person has high blood pressure, given that he is a runner."

Answer 1

0.667 is the probability that a randomly selected person has high blood pressure, given that he is a runner.

Explanation:

The following information is missing in the question:

The probability that a randomly selected person is a runner

P(R) = 0.3

The probability that a randomly selected person has high blood pressure and is a runner is 0.2

We are given the following information in the question:

The probability that a randomly selected person has high blood pressure is 0.5

P(H) = 0.5

P(R) = 0.3

`P(H\cap R) = 0.2`

We have to find the probability that a randomly selected person has high blood pressure, given that he is a runner.

`P(H|R) = \displaystyle(P(H\cap R))/(P(R)) = (0.2)/(0.3) = 0.667`

0.667 is the probability that a randomly selected person has high blood pressure, given that he is a runner.