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A class contains 10 men and 20 women of which half men and half women have brown eyes. Find the probability that a person chosen at random is a man or has brown eyes.
in Data Science by Diamond (50,934 points) | 1,462 views

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Let P(A) be the event that it is a man (10 out of 30)

Let P(B) be that the person has brown eyes (5 men and 10 woman - 15 out of 30)

( P(A∩B) is a man AND has brown eyes 5/30)

P(A∪B) = P(A) + P(B) - P(A∩B)

= 10/30 + 15/30 - 5/30

=2/3

= 0.666...7

≈ 66.67%
by Wooden (786 points)

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