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A and B are two events such that P (A) !...

A and B are two events such that `P (A) != 0`. Find P(B|A), if
(i) A is a subset of B (ii) `A cap B = phi`

Answer

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Knowledge Check

  • If A and B are two events such that P(A) gt 0 and P(B) ne 1 , then P(A | B') is ……….

    A
    `1- P(A | B')`
    B
    `1- P(A | B)`
    C
    `(P(A'))/(P(B))`
    D
    `1- P(A' | B')`

  • If A and B are two events such that P(A) ne 0 and P(B) ne 0 , then P(A' | B')= ……….

    A
    `1- P(A|B)`
    B
    `1- P(A'|B)`
    C
    `(1- P(A cup B))/(P(B'))`
    D
    `(P(A'))/(P(B'))`

  • Let A and B be two events such that P(A)= 0.4, P(A cup B)= 0.7 and P(B)= p . For what choice of p are A and B independent ?

    A
    `(1)/(2)`
    B
    `(1)/(3)`
    C
    `(3)/(4)`
    D
    `(5)/(6)`

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