Question

question number 9. the probability that a randomly selected person has high blood pressure (the event h) is p(h)=0.5 and the probability that a randomly selected person is a runner (the event r) is p(r)=0.2. 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 has high blood pressure, given that he is a runner. 0 0.20 1 0.50 0.14 none of the above.

Explanation:

Step1: Recall conditional - probability formula

The formula for conditional probability is $P(H|R)=\frac{P(H\cap R)}{P(R)}$.

Step2: Identify given values

We are given that $P(H\cap R) = 0.1$ and $P(R)=0.2$.

Step3: Substitute values into formula

Substitute the values into the conditional - probability formula: $P(H|R)=\frac{0.1}{0.2}$.

Step4: Calculate the result

$\frac{0.1}{0.2}=0.5$.

Answer:

0.50