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I need help with this probability question. Let A and B be two events in a sample space S?

Can you help me figure this out?? I can't get the right answer.

Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.5, and P(A intersection B) = 0.25. Find the probabilities below.

Hint: (A intersection Bc) union (A intersection B) = A.

(a) P(A|Bc)

(b) P(B|Ac)

1 Answer

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  • 9 years ago
    Favorite Answer

    It helps to draw a Venn diagram - i'd do my best

    A = .6

    ----------------------------

    ..................=============== B = .5

    ...................XXXX A intersect B = .25

    From the picture you can see that A intersect B complement is .35

    Algebraically: P(A) = .6 = P(A and B) + P(A and compB) = .25 + what?.

    I let you do the rest. Key: draw diagrams whenever possible

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