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Question

# Assume that boy and girl babies are equally likely. If a couple have three children, find the probability that at least one is a boy. (Give the answer up to 3 decimal places)

A

0.875

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B

0.785

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C

0.578

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D

0.75

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Solution

## The correct option is A 0.875 The complimentary event is having all three girls, which has only one outcome associated with it: GGG out of a possible 8 outcomes. The 8 possible outcomes are: {BBB,BBG,BGG,BGB,GBB,GBG,GGB,GGG}. So the probability of the complementary event is 18. Hence, the required probability is = 1−18 = 78= 0.875

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