When two dice are thrown simultaneously,what is the probability that the sum of the numbers on the top faces is $5$?

Let two fair dice $A$ and $B$ be thrown. What is the probability that the number appearing on dice $A$ is greater than the number appearing on dice $B$?

Let $N$ denote the sum of the numbers obtained when two dice are rolled. If the probability that $2^{N} < N!$ is $\frac{m}{n}$,where $m$ and $n$ are coprime,then $4m - 3n$ is equal to $......$.

When three coins are tossed simultaneously,what is the probability of getting a head on the first,a tail on the second,and a head on the third?

$A$ bag contains $7$ green and $5$ black balls. $3$ balls are drawn at random one after the other. If the balls are not replaced,then the probability of all three balls being green is

If $\frac{1 - 3p}{2}, \frac{1 + 4p}{3}$ and $\frac{1 + p}{6}$ are the probabilities of three mutually exclusive and exhaustive events,then the set of all values of $p$ is