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topjm [15]
3 years ago
6

Given a family with three ​children, find the probability of the event. The oldest is a boy and the youngest is a girl​, given t

hat there is at least one boy and at least one girl.
Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

The possible cases of the children in increasing order of age are

1) Boy,Boy,Girl

2)Boy,Girl,Boy

3)Girl,Boy,Boy

4)Girl,Girl,Boy

5)Girl,Boy,Girl

6)Boy,Girl,Girl

The favorable cases in our event are 2 numbered 4 and 5

Thus the required probability is

P(E)=\frac{2}{6}\\\\P(E)=\frac{1}{3}

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