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)

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.