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If A and B are two events such that `P(A | B)= p, P(A) = p, P(B)= (1)/(3)` and `P(A cup B) = (5)/(9)` then p = ……….

Text Solution

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The correct Answer is:
`(1)/(3)`
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Knowledge Check

  • If A and B are two events such that P(A) = (1)/(3), P(B) = (1)/(4) and P(A cap B) = (1)/(5) , then P(A' | B') = ………..

    A
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    B
    `(37)/(45)`
    C
    `(23)/(40)`
    D
    `(8)/(45)`

  • If A and B are two events such that P(A) = (5)/(8), P(B) = (3)/(8) and P(A cup B) = (3)/(4) then P(A | B) = ………..

    A
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    B
    `(2)/(3)`
    C
    `(3)/(5)`
    D
    `(1)/(4)`

  • You are given that A and B are two events such that P(B)= (3)/(5), P(A//B)= (1)/(2) and P(A cup B)= (4)/(5) then P(A) equal …….

    A
    `(3)/(10)`
    B
    `(1)/(5)`
    C
    `(1)/(2)`
    D
    `(3)/(5)`

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    If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) and P(A cap B) = (1)/(8) , find P (not A and not B).

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    A and B are two events such that P(A) = (1)/(4), P(A | B)= (1)/(2) , P(B | A)= (2)/(3) , then P(B)= ………….

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