Let A, B, and C be three events in a sample space such that AB =

Let A, B, and C be three events in a sample space Ω such that AB = ∅. Then:

(i) Verify that the events AC and BC are disjoint.

(ii) Calculate the probability of the event

(A′ ∪ C′)(B′ ∪ C′)

in terms of the probabilities P(AB) and P(AC).