When a fair die is rolled once,what is the probability of getting $1$ or $6$ on the top face?

For two events $A$ and $B$,if $P(A \cup B) = \frac{5}{6}$,$P(A) = \frac{1}{6}$,and $P(B) = \frac{2}{3}$,then $A$ and $B$ are:

$A$ problem in Mathematics is given to three students $A, B, C$ and their respective probabilities of solving the problem are $\frac{1}{2}, \frac{1}{3},$ and $\frac{1}{4}$. What is the probability that the problem is solved?

$A$ card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace.

If $P(A) = \frac{1}{2}$,$P(B) = \frac{1}{3}$ and $P(A \cap B) = \frac{1}{4}$,then the value of $P(A' \cap B')$ is

The chance of getting a doublet with $2$ dice is