TITLE: A family has three children. What is the probability that at least one of them is a boy?
QUESTION [33 upvotes]: According to me there are $4$ possible outcomes:
$$GGG \ \ 
BBB \ \ 
BGG \ \
BBG $$
Out of these four outcomes, $3$ are favorable. So the probability should be $\frac{3}{4}$.
But should you take into account the order of their birth? Because in that case it would be $\frac{7}{8}$!

REPLY [3 votes]: Assuming that the probability of getting a transgender=0 we have the probability of getting no boy=1/8,because it can only be by ggg, where g represents a girl child.So,the required result is the complement of the above mentioned event whose probability is clearly 7/8.