The probabilities that stock A will rise in price is 0.47 and that stock B will rise in price is 0.53. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.57. a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.) b. Are events A and B mutually exclusive? Yes because P(A | B) = P(A). Yes because P(A ∩ B) = 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0. c. Are events A and B independent? Yes because P(A | B) = P(A). Yes because P(A ∩ B) = 0. No because P(A | B) ≠ P(A). No because P(A ∩ B) ≠ 0.