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Probability question

2008 · Shift 0 · Q34

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PYQ Library
JEE Main
Mathematics
Probability
2008 · Shift 0 · Q34

Probability question

2008 · Shift 0 · Q34

JEE MainMathematicsProbabilityMCQ+4 / −1

It is given that the events

A

and

B

are such that

P\left( A \right) = {1 \over 4},P\left( {A|B} \right) = {1 \over 2}

and

P\left( {B|A} \right) = {2 \over 3}.

Then

P(B)

is :

A
${1 \over 6}$
B
${1 \over 3}$
C
${2 \over 3}$
D
${1 \over 2}$

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