The probabilities that stock A will rise in price is 0.51 and that stock B will rise in price is 0.49. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.62. 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? multiple choice 1

• 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? multiple choice 2

• 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.