Question

If the probability of having green eyes is 10%, the probability of having brown hair is 75%, and the probability of having both green eyes and brown hair is 9%, what is the probability of having brown hair given that you have green eyes?

Answer 1

1/2

Explanation:

Answer 2

The probability of having brown hair given that you have green eyes, P(B|G) = 0.9

Explanation:

Let P(G) be the probability of having greem eyes = 0.1

Let the probability of having Brown hair be P(B) = 0.75

The probability of having both green eyes and Brown eyes is P(G n B) = 0.09

The probability of having brown hair given that you have green eyes is P(B|G)

This is given mathematically as,

P(B|G) = P(G n B)/P(G) = 0.09/0.1 = 0.9