jee-advanced 2015 Q58

jee-advanced · India · paper2 Probability Definitions Conditional Probability and Bayes' Theorem

A ball is drawn at random from box I and transferred to box II. If the probability of drawing a red ball from box I, after this transfer, is $\frac { 1 } { 3 }$, then the correct option(s) with the possible values of $n _ { 1 }$ and $n _ { 2 }$ is(are)
(A) $\quad n _ { 1 } = 4$ and $n _ { 2 } = 6$
(B) $\quad n _ { 1 } = 2$ and $n _ { 2 } = 3$
(C) $n _ { 1 } = 10$ and $n _ { 2 } = 20$
(D) $n _ { 1 } = 3$ and $n _ { 2 } = 6$

A ball is drawn at random from box I and transferred to box II. If the probability of drawing a red ball from box I, after this transfer, is $\frac { 1 } { 3 }$, then the correct option(s) with the possible values of $n _ { 1 }$ and $n _ { 2 }$ is(are)\\
(A) $\quad n _ { 1 } = 4$ and $n _ { 2 } = 6$\\
(B) $\quad n _ { 1 } = 2$ and $n _ { 2 } = 3$\\
(C) $n _ { 1 } = 10$ and $n _ { 2 } = 20$\\
(D) $n _ { 1 } = 3$ and $n _ { 2 } = 6$

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