$A$ and $B$ are two events such that $P(A)=0.54$,$P(B)=0.69$ and $P(A \cap B)=0.35$. Find $P(B \cap A^{\prime})$.

The probability that a non-leap year selected at random will have $53$ Sundays or $53$ Saturdays is

The probability of obtaining an even prime number on each die,when a pair of dice is rolled is

If a die is thrown twice,what is the probability of getting $4$ at least once?

$A$ coin is tossed twice. The probability of getting head both the times is

Two brothers $X$ and $Y$ appeared for an exam. Let $A$ be the event that $X$ has passed the exam and $B$ is the event that $Y$ has passed. The probability of $A$ is $\frac{1}{7}$ and of $B$ is $\frac{2}{9}$. Then,the probability that both of them pass the exam is