$A$ 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 $12$.

Two fair dice are rolled. The probability of the sum of digits on their faces being greater than or equal to $10$ is

In the random experiment of tossing two unbiased dice, let $E$ be the event of getting the sum $8$ and $F$ be the event of getting even numbers on both the dice. Then:
$I. P(E) = \frac{7}{36}$
$II. P(F) = \frac{1}{3}$
Which of the following is a correct statement?

$A$ number is chosen at random from the first ten natural numbers. The probability that the number is odd and a perfect square is

The probability of getting head and tail alternately in three throws of a coin (or a throw of three coins) is:

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?