Please help me (:

[ikyliee]

I have no idea how to do this problem. I looked at all the notes my teacher put online and through the book but I missed class that day due to phenomonia. Can I have some help please!

Suppose that in a given population the probability that a woman with two children either has two girls or two boys is 0.5013. What is the probability that she has one child of each sex? (Round your answer to four decimal places.)

 

[HallsofIvy]

If we call 'both children boys', "BB", 'both children girls', "GG" and 'a boy and a girl', "BG", then, since those are the only things that can happen, if a family has two children, we must have P(BB)+ P(GG)+ P(BG)= 1. You are told that "the probability that a woman with two children either has two girls or two boys is 0.5013" so P(BB)+ P(GG)= 0.5013. What is P(BG)?