Question

If A and B are independent events, P(A) = 0.25, and P(B) = 0.45, find the probabilities below. (Enter your answers to four decimal places.)
(a) P(A ∩ B)


(b) P(A ∪ B)


(c) P(A | B)


(d) P(Ac ∪ Bc)

Answer 1

we are given two probabilities of two events:  P(A) = 0.25, and P(B) = 0.45. we are asked to determine  P(A ∩ B) which has a formula of P(A) * P(B) equal to 0.25 *0.45 equal to 0.1125.  P(A ∪ B) has a formula of P(A) + P(B) equal to 0.70. (c) P(A | B) is 0.25/0.45 equal to 0.56. (d) P(Ac ∪ Bc) is equal to (1-0.25)*(1-0.45) equal to 0.4125.