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Probability question

2003 · Shift 0 · Q88

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PYQ Library
JEE Main
Mathematics
Probability
2003 · Shift 0 · Q88

Probability question

2003 · Shift 0 · Q88

JEE MainMathematicsProbabilityMCQ+4 / −1

Events

A, B, C

are mutually exclusive events such that

P\left( A \right) = {{3x + 1} \over 3},P\left( B \right) = {{1 - x} \over 4}

and

P\left( C \right) = {{1 - 2x} \over 2}

The set of possible values of

x

are in the interval.

A
$\left[ {0,1} \right]$
B
$\left[ {{1 \over 3},{1 \over 2}} \right]$
C
$\left[ {{1 \over 3},{2 \over 3}} \right]$
D
$\left[ {{1 \ 3},{13 \over 3}} \right]$

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