Question

In: Statistics and Probability

To the right are the outcomes that are possible when a couple has three children. Assume...

To the right are the outcomes that are possible when a couple has three children. Assume that boys and girls are equally​ likely, so that the eight simple events are equally likely. Find the probability that when a couple has three​ children, there is exactly 1 girl.

1st

2nd

3rd

boy

boy

boy

boy

boy

girl

boy

girl

boy

boy

girl

girl

girl

boy

boy

girl

boy

girl

girl

girl

boy

girl

girl

girl

Solutions

Expert Solution

Total number of outcomes = 8

Number of outcomes in which there is exactly 1 girl = 3

(boy boy girl, boy girl boy, girl boy boy)

P(when a couple has three chikdren, there is exactly 1 girl) = Number of outcomes in which there is exactly 1 girl / Total number of outcomes

= 3/8

= 0.375

orchestra answered 3 years ago
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