New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Probability question

2017 · Shift 1 · Q19

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Advanced
Mathematics
Probability
2017 · Shift 1 · Q19

Probability question

2017 · Shift 1 · Q19

JEE AdvancedMathematicsProbabilityMultiple correct+4 / −1

Let X and Y be two events such that

P(X) = {1 \over 3}

,

P(X|Y) = {1 \over 2}

and

P(Y|X) = {2 \over 5}

. Then

A
$P(Y) = {4 \over {15}}$
B
$P(X'|Y) = {1 \over 2}$
C
$P(X \cup Y) = {2 \over 5}$
D
$P(X \cap Y) = {1 \over 5}$

More from Probability

Three randomly chosen nonnegative integers x, y and z are found to satisfy the equation x + y + z = 10. Then the probability that z is even, is2017 · MCQ
A computer producing factory has only two plants $T_{1}$ and $T_{2} .$ Plant $T_{1}$ produces $20$ % and plant $T_{2}$ produces $80$ % of the total computers produced. $7$ % of computers produced in the factory turn out to be defective. It is…2016 · MCQ
Football teams $T_{1}$ and $T_{2}$ have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of $T_{1}$ winning, drawing and losing a game against $T_{2}$ are $\frac{1}{2}, \frac{1}{6}$ …2016 · MCQ
Football teams $T_{1}$ and $T_{2}$ have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of $T_{1}$ winning, drawing and losing a game against $T_{2}$ are $\frac{1}{2}, \frac{1}{6}$ …2016 · MCQ
The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least $0.96,$ is2015 · Numerical
Let $n_{1}$ and $n_{2}$ be the number of red and black balls, respectively, in box $I$ . Let $n_{3}$ and $n_{4}$ be the number of red and black balls, respectively, in box $I I .$ One of the two boxes, box $I$ and box $I I,$ …2015 · Multiple correct
Let $n_{1}$ and $n_{2}$ be the number of red and black balls, respectively, in box $I$ . Let $n_{3}$ and $n_{4}$ be the number of red and black balls, respectively, in box $I I .$ A ball is drawn at random from box $I$ …2015 · Multiple correct
Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one more than the number of girls ahead of her, is2014 · MCQ