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 1 year ago

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