In a single throw of two dice,the probability of getting a sum of more than $7$ 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 event $A$. Then events $A$ and $B$ are

Each of the two boxes $P$ and $Q$ contain $100$ chits numbered from $1$ to $100$. If one chit is drawn at random from each box, then the probability that the number on the chit drawn from $P$ is the square of the number on the chit drawn from $Q$, is (in $\%$)

When two dice are rolled,what is the probability that the sum of the numbers on the faces is a multiple of $4$?

If two dice are thrown, then the probability of getting coprime numbers on the dice is

$A$ fair coin with $1$ marked on one face and $6$ on the other and a fair die are both tossed. Find the probability that the sum of the numbers that turn up is $12$.