1

JEE Advanced 2015 Paper 2 Offline

MCQ (More than One Correct Answer)

+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 $${\rm I}{\rm I}.$$

One of the two boxes, box $${\rm I}$$ and box $${\rm I}{\rm I},$$ was selected at random and a ball was drawn randomly out of this box. The ball was found to be red. If the probability that this red ball was drawn from box $${\rm I}{\rm I}$$ is $${1 \over 3},$$ then the correct option(s) with the possible values of $${n_1}$$ $${n_2},$$ $${n_3}$$ and $${n_4}$$ is (are)

2

JEE Advanced 2015 Paper 2 Offline

MCQ (More than One Correct Answer)

+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)

3

IIT-JEE 2012 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-1

Let $$X$$ and $$Y$$ be two events such that $$P\left( {X|Y} \right) = {1 \over 2},$$ $$P\left( {Y|X} \right) = {1 \over 3}$$ and $$P\left( {X \cap Y} \right) = {1 \over 6}.$$ Which of the following is (are) correct ?

4

IIT-JEE 2012 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

A ship is fitted with three engines $${E_1},{E_2}$$ and $${E_3}$$. The engines function independently of each other with respective probabilities $${1 \over 2},{1 \over 4}$$ and $${1 \over 4}$$. For the ship to be operational at least two of its engines must function. Let $$X$$ denote the event that the ship is operational and Let $${X_1},{X_2}$$ and $${X_3}$$ denote respectively the events that the engines $${E_1},{E_2}$$ and $${E_3}$$ are functioning. Which of the following is (are) true?

Questions Asked from Probability (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced 2021 Paper 1 Online (1)
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JEE Advanced 2017 Paper 1 Offline (1)
JEE Advanced 2015 Paper 2 Offline (2)
IIT-JEE 2012 Paper 2 Offline (1)
IIT-JEE 2012 Paper 1 Offline (1)
IIT-JEE 2011 Paper 2 Offline (1)
IIT-JEE 1999 (1)
IIT-JEE 1998 (1)
IIT-JEE 1995 Screening (1)
IIT-JEE 1993 (1)
IIT-JEE 1991 (1)
IIT-JEE 1989 (1)
IIT-JEE 1988 (1)
IIT-JEE 1984 (1)

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