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Events A, B, C are mutually exclusive ev...

Events A, B, C are mutually exclusive events such that `P(A)=(3x+1)/(3), P(B)=(1-x)/(4) " and " P(C )=(1-2x)/(2)`. The set of all possible values of x are in the interval

A

`[1/3,2/3]`

B

`[1/3,13/3]`

C

[0,1]

D

`[1/3,1/2]`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If the events A and B are mutually exclusive events such that P(A) = (3x + 1)/(3) and P(B) = (1 - x)/(4) , then the set of possible real values of x lies in the interval

    A
    [0, 1]
    B
    `[-(1)/(3), (5)/(9)]`
    C
    `[-(7)/(9),(4)/(9)]`
    D
    `[(1)/(3),(2)/(3)]`

  • If two events A and B are mutually exclusive events such that P (A) = ( 3x +1)/( 3) and P (B) = (1-x)/(4), then the set of possible values of x lies in the interval

    A
    `[0,1]`
    B
    `[ (1)/(3), (2)/(3)]`
    C
    `[ - (1)/(3) , (5)/(9)]`
    D
    `[ - (7)/(9) , (4)/(9) ]`

  • If A, B are mutually exclusive events such that P(A) = 1/3 and P(B) = 1/2," then " P(A'cap B')=

    A
    `1/2`
    B
    `1/6`
    C
    `1/3`
    D
    `1/5`

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