Question

Every time Tom and Maya have a child, there is an equal probability of it being a boy or a girl.
1. If Tom and Maya have 3 children, what is the probability that they have EXACTLY 2 daughters?
2. If Tom and Maya have 3 children, what is the probability that they have all sons?
Please show your work.

Answer 1

all outcomes of three children (using G for girl and B for boy)
GGG, GGB,GBG,GBB,BGG,BGB,BBG,BBB
1) exactly two is 3 out of 8 total outcomes, or 3/8
2)  all sons is one outcome, or 1/8