Let X and Y be two events such | Maths | JEE ADVANCED 2012

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JEE Advance 2012

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Question

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

Select ALL correct options:

A

$P(X \cup Y)=\frac{2}{3}$

B

$X$ and $Y$ are independent

C

$X$ and $Y$ are not independent

D

$P\left(X^c \cap Y\right)=\frac{1}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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