Find the probability of a $4$ turning up at least once in two tosses of a fair die.

$A$ and $B$ are two events such that $P(A) = 0.8$,$P(B) = 0.6$,and $P(A \cap B) = 0.5$. Then the value of $P(A/B)$ is:

Let $A$ and $B$ be two finite sets having $m$ and $n$ elements respectively such that $m \le n.$ $A$ mapping is selected at random from the set of all mappings from $A$ to $B$. The probability that the mapping selected is an injection is

Three identical dice are rolled. The probability that the same number will appear on each of them is:

$A$ five-digit number is formed by writing the digits $1, 2, 3, 4, 5$ in a random order without repetition. What is the probability that the number is divisible by $4$?

When two dice are thrown simultaneously,what is the probability that the numbers appeared on both dice are equal?