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If A and B are any two events such that `P(A) + P(B) - P(A a n d B) = P(A)`? then(A) `P(B | A) = 1` (B) `P(A | B) = 1`(C) `P(B | A) = 0` (D) `P(A | B) = 0`

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To solve the problem, we start with the given equation: \[ P(A) + P(B) - P(A \cap B) = P(A) \] ### Step 1: Simplify the equation We can rearrange the equation to isolate \( P(B) \): \[ ...
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Knowledge Check

  • If A and B are two events euch that P(A) != 0 and P(B//A)=1 then

    A
    `A sub B`
    B
    `B sub A`
    C
    `B = phi`
    D
    none of these

  • If A and B are two events such that P(A) =0.6 , P(B) = 0.2 and P(A//B) = 0.5 , then P(A,B)is equal to

    A
    `1/10`
    B
    `3/10`
    C
    `3/8`
    D
    `6/7`

  • If A and B are two events and P(A) = 0.3 P(B) = 0.4 , P(A cap B) = 0.5 then P(A cup B) =

    A
    `0.5`
    B
    `0.2
    C
    1
    D
    `0.1`
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