Question

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]?

Answer 1

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