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Probability question

2013 · Shift 2 · Q26

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PYQ Library
JEE Advanced
Mathematics
Probability
2013 · Shift 2 · Q26

Probability question

2013 · Shift 2 · Q26

JEE AdvancedMathematicsProbabilityMCQ+4 / −1

A box

{B_1}

contains

1

white ball,

3

red balls and

2

black balls. Another box

{B_2}

contains

2

white balls,

3

red balls and

4

black balls. A third box

{B_3}

contains

3

white balls,

4

red balls and

5

black balls. If

2

balls are drawn (without replacement) from a randomly selected box and one of the balls is white and the other ball is red, the probability that these

2

balls are drawn from box

{B_2}

is

A
${{116} \over {181}}$
B
${{126} \over {181}}$
C
${{65} \over {181}}$
D
${{55} \over {181}}$

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