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Probability question

2011 · Shift 1 · Q37

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PYQ Library
JEE Advanced
Mathematics
Probability
2011 · Shift 1 · Q37

Probability question

2011 · Shift 1 · Q37

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 isGiven that the drawn ball from

{U_2}

is white, the probability that head appeared on the coin is

A
${{17} \over {23}}$
B
${{11} \over {23}}$
C
${{15} \over {23}}$
D
${{12} \over {23}}$

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