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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]`

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The correct Answer is:
D
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