List of top Mathematics Questions on Conditional Probability asked in KEAM

A die is rolled twice. Let $A$ be an event of getting 1 in the first roll and let $B$ be an event of getting 4 in the second roll. Then $P(A|B)$ is equal to

The events A and B are such that \(P(A)=0.7, P(B')=0.8\) and \(P(A \cup B) = 0.8\). Then \(P(A' \cup B')\) is equal to

If $P(A/B)=\frac{1}{2}, P(B/A)=\frac{1}{3}$ and $P(A\cap B)=\frac{1}{6}$ then $P(A\cup B)$ is

If $P(A)=0.7, P(B)=0.5$ and $P(A\cup B)=0.9$, then $P(A/B)$ is ________.

Two distinct numbers $x$ and $y$ are chosen from $1,2,3,4,5$. The probability that the arithmetic mean of $x$ and $y$ is an integer is