Question

A and B are two events such that P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35. Find
P (A ∪ B).

Answer 1

Given:
P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35

By addition theorem, we have:
P (A ∪ B) = P(A) + P (B) -P (A ∩ B)
                 = 0.54 + 0.69 -  0.35
                 = 0.88