For a family with two children, let A denote {first child is female}, let B denote (at

Question:

For a family with two children, let A denote {first child is female}, let B denote (at least one child is female}, and let C denote {both children are female}.
a. Show that P(C | A) = 1/2.
b. Are A and C independent events? Why or why not?
c. Find P(C | B).
d. Describe what makes P(C | A) different than P(C | B).