Probability Practice Test 2

P(A) = 4/6 = 2/3, P(B) = 3/6 = 1/2
P(AB) = 1/6
P(A).P(B) = 1/3
As P(AB) ≠ P(A).P(B)
∴ A and B are not independent. Occurrence of one do not effect the occurrence of other, P(A ∩ B) ≠ null set
∴ Events are not mutually exclusive.
All the possible outcomes are existing, i.e., A ∪ B is equal to sample space {1, 2, 3, 4, 5, 6}, therefore events A and B are exhaustive.