Question

type the correct answer in the box. a survey of the men in a certain town showed that 35% of the men have blond hair and 14% of them have blond hair and blue eyes. the probability that a randomly - selected man has blue eyes, given that he has blond hair is %.

Explanation:

Step1: Recall conditional - prob. formula

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Step2: Substitute values

Let $A$ be blue - eyes, $B$ be blond - hair. $P(B) = 0.35$, $P(A\cap B)=0.14$. Then $P(A|B)=\frac{0.14}{0.35}=0.4 = 40\%$

Answer:

40