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If 0 lt P(A) lt 1, 0 lt P(B) lt 1 and P...

If ` 0 lt P(A) lt 1, 0 lt P(B) lt 1` and `P(A cup B)=P(A)+P(B)-P(A)P(B)`, then

A

`P(B/A)=P(B)-P(A)`

B

`P(A'-B')=P(A')-P(B')`

C

`P(AcupB)'=P(A')P(B')`

D

`P((A)/(B))=P(A)-P(B)`

Text Solution

Verified by Experts

The correct Answer is:
(c,d)
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Knowledge Check

  • If P(A) = P(B) = x and P(A cap B) = P(A^(') cap B^(')) = 1/3 then x =

    A
    1/2
    B
    1/3
    C
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    D
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    A
    3/8
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    1/8
    C
    2/8
    D
    5/8

  • If P(A) = 3/10, P(B) = 2/5 and P(A cup B ) = 3/5 , then P(B/A) + P(A/B) =

    A
    1/4
    B
    1/3
    C
    5/12
    D
    7/12

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