The probabilities that stock A will rise in price are 0.40 and that stock B will rise in price are 0.60. Furthermore, if stock B rises in price, the probability that stock A will also rise in price is 0.50.
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.