Chapter 3 - Probability - Exercises 3.63 - 3.97 - Learning the Mechanics - Page 145: 3.74b

P(A) = P(1) + P(2) + P(3) = 0.20 + 0.05 + 0.30 = 0.55 P(B) = P(3) + P(4) = 0.30 + 0.10 = 0.40 P(C) = P(5) + P(6) = 0.10 + 0.25 = 0.35 P(A ∩ B) = P(3) = 0.30 P(A).P(B) != P(A ∩ B) Hence A & B are not independent P(A).P(C) != P(A ∩ C) Hence A & C are not independent P(B).P(C) != P(B ∩ C) Hence B & C are not independent

As given in answer