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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 = 118 = 78= 0.875


Mathematics

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