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If A and B are two independent events of...

If A and B are two independent events of a random experiment and `P(A) = (1)/(2)/,P(B) = (1)/(5),` then -

A

`P(AcupB)= (3)/(5)`

B

`P((AcupB)/(A cup B))= 0`

C

`P((A)/(A cup B))= (5)/(6)`

D

none of these

Text Solution

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The correct Answer is:
A,B,C
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Knowledge Check

  • If A and B are two events and P(A) = (3)/(4), P(B) = (5)/(8) , then -

    A
    `P(A cup B) ge (3)/(4)`
    B
    `P(A' cap B) le (1)/(4)`
    C
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    D
    `(3)/(8) le P(A cap B) le (5)/(8)`

  • A and B are two independent events such that P(A cap B) =(1)/(12) and P (either A or B) =(1)/(2) , then -

    A
    `P(A cup B)=(1)/(2)`
    B
    `P(A^(c ) cap B^(c ))=(1)/(7)`
    C
    `P(A)=(1)/(3), P(B)=(1)/(4)`
    D
    `P(A)=(1)/(4), P(B)=(1)/(3)`

  • If A and B are two independent events associated with an experiment such that P(A) gt 0 and P(B) gt 0 , then -

    A
    `P(A-B)=P(A)(1-P(B))`
    B
    `P(A cap B)=0`
    C
    `P(A^(c ) cap B^(c ))=(1-P(A))(1-P(B))`
    D
    None of these

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