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

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500