Question

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. What is the probability that a randomly selected man has blue eyes, given that he has blond hair?

Answer 1

Using conditional probability, it is found that there is a 0.4 = 40% probability that a randomly selected man has blue eyes, given that he has blond hair.

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Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

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In this question:

• Event A: Blond hair.
• Event B: Blue eyes.

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• 35% of the men have blond hair, thus $P(A) = 0.35$

• 14% of them have blond hair and blue eyes, thus $P(A \cap B) = 0.14$

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What is the probability that a randomly selected man has blue eyes, given that he has blond hair?

This is:

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

0.4 = 40% probability that a randomly selected man has blue eyes, given that he has blond hair.

A similar problem is given at https://brainly.com/question/24161830

Answer 2

Answer: 40 %

Step-by-step explanation: