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Probability question

2015 · Shift 2 · Q25

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PYQ Library
JEE Advanced
Mathematics
Probability
2015 · Shift 2 · Q25

Probability question

2015 · Shift 2 · Q25

JEE AdvancedMathematicsProbabilityMultiple correct+4 / −1

Let

{n_1}

and

{n_2}

be the number of red and black balls, respectively, in box

{\rm I}

. Let

{n_3}

and

{n_4}

be the number of red and black balls, respectively, in box

{\rm I}{\rm I}.

A ball is drawn at random from box

{\rm I}

and transferred to box

{\rm I}{\rm I}.

If the probability of drawing a red ball from box

{\rm I},

after this transfer, is

{1 \over 3},

then the correct option(s) with the possible values of

{n_1}

and

{n_2}

is(are)

A
${n_1} = 4$ and ${n_2} = 6$
B
${n_1} = 2$ and ${n_2} = 3$
C
${n_1} = 10$ and ${n_2} = 20$
D
${n_1} = 3$ and ${n_2} = 6$

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