The probability of getting the number $5$ when throwing a fair die is:

In a single throw of a fair die,what is the probability of getting a number less than $7$?

$A$ mathematics problem is given to three students $A, B$,and $C$. The probabilities of them solving the problem are $1/2, 1/3$,and $1/4$ respectively. What is the probability that the problem is solved?

Two dice are thrown together. The probability that at least one will show its digit $6$ is

If two events $A$ and $B$ are such that $P(A \cup B) = \frac{5}{6}$,$P(A \cap B) = \frac{1}{3}$,and $P(\bar{A}) = \frac{1}{2}$,then the events $A$ and $B$ are:

Three coins are tossed. Describe three events which are mutually exclusive but not exhaustive.