The 2 events P(E) and P(F) are independent with P(E) =0.45 and P(F) =0.65. Find P(E U F)

Answer 1

P(E U F) = P(E) + P(F) - P(E ∩ F)

If E and F are independent, P(E ∩ F) = P(E) * P(F)

Thus, P(E U F) = P(E) + P(F) - P(E ∩ F) = .45 + .65 - .45 * .65 = .8075