Asurvey 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?

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

In which

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

is the probability of both A and B happening.

P(A) is the probability of A happening.

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In this question:

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

This is:

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

A similar problem is given at link

step-by-step explanation: yes