The probabilities that stock A will rise in price is 0.59 and that stock B will rise in price is 0.41. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.61. a. What is the probability that at least one of the stocks will rise in price. b. Are events A and B mutually exclusive? i. Yes because P(A | B) = P(A).ii. Yes because P(A ∩ B) = 0.iii. No because P(A | B) ≠ P(A).iv. No because P(A ∩ B) ≠ 0.c. Are events A and B independent? i. Yes because P(A | B) = P(A).ii. Yes because P(A ∩ B) = 0.iii. No because P(A | B) ≠ P(A).iv. No because P(A ∩ B) ≠ 0.