$A$ fair die is rolled once. Let $A$ be the event of getting an integer greater than $3$ and $B$ be the event of getting an integer less than $5$. Find $P(A \cup B)$.

Let $E_{1}, E_{2}, E_{3}$ be three mutually exclusive events such that $P(E_{1}) = \frac{2+3p}{6}$,$P(E_{2}) = \frac{2-p}{8}$,and $P(E_{3}) = \frac{1-p}{2}$. If the maximum and minimum values of $p$ are $p_{1}$ and $p_{2}$,then $(p_{1} + p_{2})$ is equal to.

Two dice are thrown. The probability that the sum of the points on two dice will be $7$ is:

If any four numbers are selected,what is the probability that the last digit of their product will be $1, 3, 5$ or $7$?

The probability of getting a sum of $3$,$5$,or $11$ when throwing two dice is:

Three coins are tossed. Describe two events which are mutually exclusive.