Question

question number 10. 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 is a runner, given that he has high blood pressure. 0.50 0.14 0.20 0 none of the above.

Explanation:

Step1: Recall the formula for conditional probability

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In this case, we want to find $P(R|H)$, and we know that $P(H\cap R) = 0.1$, $P(H)=0.5$.

Step2: Substitute values into formula

$P(R|H)=\frac{P(H\cap R)}{P(H)}$. Substituting $P(H\cap R) = 0.1$ and $P(H)=0.5$ into the formula, we get $\frac{0.1}{0.5}$.

Step3: Calculate the result

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

Answer:

0.2