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 - probability formula

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. Let event $A$ be having blue eyes and event $B$ be having blond hair.

Step2: Identify the given probabilities

We are given that $P(B) = 0.35$ (35% of men have blond hair) and $P(A\cap B)=0.14$ (14% of men have blond hair and blue eyes).

Step3: Calculate the conditional probability

Substitute the values into the formula: $P(A|B)=\frac{0.14}{0.35}=0.4$.

Answer:

40