There are two children in a family. The probability that both of them are boys is

$A$ die is thrown. Let $A$ be the event that the number obtained is greater than $3$. Let $B$ be the event that the number obtained is less than $5$. Then $P(A \cup B)$ is

Two coins are tossed. What is the probability of getting at most one head?

$A$ mapping is selected at random from the set of all the mappings of the set $A = \{1, 2, ..., n\}$ into itself. The probability that the mapping selected is an injection is

What is the probability of getting a total of less than $12$ in the throw of two dice?

In a single throw of $2$ dice,find the probability of getting a total of $3$ or $5$.