Rework problem 4 from section 3.2 of your text, involving sets E and F. Suppose for this problem that Pr[E]=1/12, Pr[F]=1/12, and Pr[E∩F′]=0/1

1) What is Pr[E|F]?

2) What is Pr[F|E]?

The Venn Diagram that represents the problem is shown below

P (E|F) and P (F|E) are the conditional probability.

P (E|F) is given by P (E∩F) : P (F) = ¹/₂ : ¹/₂ = 1

P (F|E) is given by P (F∩E) : P (E) = ¹/₂ : ¹/₂ = 1