The rule P(A ∪ B) = P(A) + P(B) − P(A ∩ B) from Section 2.3 is often useful to compute the probability of the union of two events. What would be the corresponding rule for three events A, B, and C? It...

The rule P(A ∪ B) = P(A) + P(B) − P(A ∩ B) from Section 2.3 is often useful to compute the probability of the union of two events. What would be the corresponding rule for three events A, B, and C? It should start with

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) −···