1. Let A and B be events in a sample space S such that P(A) = ²⁷₁₀₀ , P(B) = ¹¹₂₅ , and P(A B) = ⁷₅₀ . Find P(B | A^c ). Hint: Draw a Venn Diagram to find P(A^c B).

a) 0.6027

b) 1.6296

c) 0.1918

d) 0.4110

e) 0.6818

2.A pair of fair dice is cast. What is the probabiliy that the sum of the numbers falling uppermost is 9, given that at least one of the numbers falling uppermost is a 3?

a) 0.1818

b) 0.1111

c) 0.3056

d) 0.5000

e) 0.0556