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?

Question

Mathematics

Tyler Berger

12 September, 01:10

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?

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Answers (1)

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Sienna Roman · Answer 1

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

Step-by-step 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