Answer:
[tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
If the probability of having a boy or a girl is the same, then
the probability of having a boy = a probability of having a girl = 1/2.
Let B denote boy and G denote the girl.
The sample space of having three children is:
BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG.
The probabilities of each of those events is
[tex]Pr(BBB)=Pr(BBG)=Pr(BGB)=Pr(GBB)=\\ \\=Pr(BGG)=Pr(GBG)=Pr(GGB)=Pr(GGG)=\\ \\=\dfrac{1}{2}\cdot \dfrac{1}{2}\cdot \dfrac{1}{2}=\dfrac{1}{8}.[/tex]
