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Suppose that A and B are independent events such that P(ā)(Capitalized) = 0.10 and P(B)= 0.40 .

Find P(A ∩ B) and P(A ∪ B) .

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  • 6 years ago
    Favorite Answer

    What does P(ā) mean? Is that the complement of A or in other words:

    P(ā) = 1 - P(A) = 0.10 => P(A) = 0.9 and P(B) = 0.4

    P(A ∩ B) = Probability of A and B both occurring = (0.9)(0.4) = 0.36

    P(A ∪ B) = Probability of either A or B occurring but not both = (0.9)(0.6) + 0.4(0.1) = 0.58

  • 6 years ago

    P(A ∩ B)=0

    since they're indepedent they dont have any common elements

    P (A ∪ B) =P(A) + P(B) - P(A ∩ B) =P(A) + P(B)=0.1 +0.4=0.5

    dont forget to vote for best answer if it helped you ;-)

    Cheers

    Source(s): My mind,high school
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