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) = 0.5. The probability that a randomly selected person has high blood pressure and is a runner is 0.2. Find the probability that a randomly selected person is a runner, given that he has high blood pressure.

Question

Mathematics

Seamus Ellis

5 June, 06:48

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) = 0.5. The probability that a randomly selected person has high blood pressure and is a runner is 0.2. Find the probability that a randomly selected person is a runner, given that he has high blood pressure.

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Answers (1)

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Aubrey Marshall · Answer 1

Answer: 2/3 = 0,67

Step-by-step explanation: We have P (H) = 0,3 and P (R) = 0,5.

P (High blood pressure and runner) = P (H∩R) = 0,2

The problem asks for P (runner, given he has high blood pressure) = P (R|H). This conditional probability is given by the formula:

P (A|B) = P (A∩B)

P (B)

In this case, P (R|H) = P (H∩R) = 0,2 = 2 = 0,67

P (H) 0,3 3