$A$ coin is tossed and a die is thrown. The probability that the outcome will be a head or a number greater than $4$ or both,is

The probability of getting a total of $5$ or $6$ in a single throw of $2$ dice is

Three persons $P, Q$ and $R$ independently try to hit a target. If the probabilities of their hitting the target are $\frac{3}{4}, \frac{1}{2}$ and $\frac{5}{8}$ respectively,then the probability that the target is hit by $P$ or $Q$ but not by $R$ is

Two dice are thrown together. The probability that the sum of the two numbers will be a multiple of $4$ is

If two different numbers are taken from the set $\{0, 1, 2, 3, \dots, 10\}$,then the probability that their sum as well as their absolute difference are both multiples of $4$ is:

Let $A$ and $B$ be two events such that $P(\overline{A \cup B}) = \frac{1}{6}$,$P(A \cap B) = \frac{1}{4}$ and $P(\bar{A}) = \frac{1}{4}$,where $\bar{A}$ stands for the complement of the event $A$. Then the events $A$ and $B$ are