The probability that stock A will rise in price is 0.63 and that stock B will rise in price is 0.37. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.68. What is the probability that at least one of the stocks will rise in price? Note: Round your answer to 2 decimal places.   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. 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.

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The probability that stock A will rise in price is 0.63 and that stock B will rise in price is 0.37. Further, if stock B rises in price, the probability that stock A will also rise in price is 0.68.

  1. What is the probability that at least one of the stocks will rise in price?

    Note: Round your answer to 2 decimal places.

     
  2. 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.
  3. 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.
       
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