type the correct answer in the box. a survey of the men in a certain town showed that 35% of the men have…
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 (%).
Answer
Explanation:
Step1: Recall conditional - probability formula
The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. Let $A$ be the event that a man has blue eyes and $B$ be the event that a man has blond hair. We are given that $P(B) = 0.35$ and $P(A\cap B)=0.14$.
Step2: Substitute values into the formula
$P(A|B)=\frac{0.14}{0.35}$.
Step3: Calculate the result
$\frac{0.14}{0.35}=\frac{14}{35}=0.4$. To convert to a percentage, we multiply by 100. So $0.4\times100 = 40$.
Answer:
40