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

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

Step2: Assign given values

Let $A$ = blond hair, $P(A)=0.35$; $A \cap B$ = blond hair + blue eyes, $P(A \cap B)=0.14$

Step3: Calculate conditional probability

$P(B|A) = \frac{0.14}{0.35} = 0.4$

Step4: Convert to percentage

$0.4 \times 100 = 40$

Answer:

40