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Probability question

2011 · Shift 1 · Q36

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PYQ Library
JEE Advanced
Mathematics
Probability
2011 · Shift 1 · Q36

Probability question

2011 · Shift 1 · Q36

JEE AdvancedMathematicsProbabilityMCQ+4 / −1

Let

{U_1}

and

{U_2}

be two urns such that

{U_1}

contains

3

white and

2

red balls, and

{U_2}

contains only

1

white ball. A fair coin is tossed. If head appears then

1

ball is drawn at random from

{U_1}

and put into

{U_2}

. However, if tail appears then

2

balls are drawn at random from

{U_1}

and put into

{U_2}

. Now

1

ball is drawn at random from

{U_2}

being white isThe probability of the drawn ball from

{U_2}

being white is

A
${{13} \over {30}}$
B
${{23} \over {30}}$
C
${{19} \over {30}}$
D
${{11} \over {30}}$

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