Given independent events...

Question

Given independent events, A and B, such that Pr[A]=0.05 and Pr[B]=0.12. Determine Pr[A U B].

Answer 1

We have Pr[A U B] = Pr[A] + Pr[B] - Pr[A n B], but since A and B are independent, Pr[A n B] = Pr[A]Pr[B]. Therefore Pr[A U B] = 0.05 + 0.12 - (0.05)(0.12) = 0.164.