## 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 sele

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) = 0.4. 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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2021-10-09T00:47:33+00:00
2021-10-09T00:47:33+00:00 1 Answer
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## Answers ( )

Answer:The probability of choosing a person with BP who is also a runner is 2/3.Step-by-step explanation:According to the given data:

P( Selecting a person with high blood pressure ) = 0.3

or,

P(H) = 0.3P( Selecting a person who is a Runner ) = 0.4

or,

P(R) = 0.4Now, P( Randomly Selecting a person who has high BP and is a runner) = 0.2

⇒

P(H∩ R) = 0.2Now, we need to find the

P(randomly selected person is a runner and has already has high BP)or we need to find: P(R/H)

now, by BAYES THEOREM:

Hence, the probability of choosing a person with BP who is also a runner is 2/3.