Four dice (six-faced) are rolled. The number of possible outcomes in which at least one die shows $2$ is

If $A$ and $B$ are events such that $P(A \cup B) = \frac{3}{4}$,$P(A \cap B) = \frac{1}{4}$,and $P(\overline{A}) = \frac{2}{3}$,then what is the value of $P(\overline{A} \cap B)$?

$A$ die is thrown. Find the probability of the following event: $A$ number more than $6$ will appear.

$A$ coin is tossed again and again. If tail appears on the first three tosses,then the chance that head appears on the fourth toss is

Let $A$, $B$, and $C$ be three events such that $P(A \cap \bar{B} \cap \bar{C}) = 0.6$, $P(A) = 0.8$, and $P(\bar{A} \cap B \cap C) = 0.1$. Then, the value of $P(\text{at least two among } A, B, \text{ and } C)$ equals:

When two dice are thrown,the probability of getting an ordered pair $(x, y)$ such that $x^2+y^2 \leq 25$,where $x$ and $y$ are the numbers that show up on the two dice,is: