$A$ die has two faces each with number $1$,three faces each with number $2$,and one face with number $3$. If the die is rolled once,determine $P(2)$.

An experiment consists of recording the boy-girl composition of families with $2$ children. What is the sample space if we are interested in the number of girls in the family?

Out of $100$ students,two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students,what is the probability that you both enter different sections?

Two integers are chosen at random and multiplied. The probability that the product is an even integer is

Describe the sample space for the indicated experiment: $A$ coin is tossed four times.

Mr. $A$ has $6$ children and at least one child is a girl. What is the probability that Mr. $A$ has $3$ boys and $3$ girls?