Two dices are rolled. If both dices have six faces numbered $1,2,3,5,7$ and $11,$ then the probability that the sum of the numbers on the top faces is less than or equal to $8$ is

A fair coin is tossed four times, and a person win $\mathrm {Rs.}$ $1$ for each head and lose  $\mathrm {Rs.}$ $1.50$ for each tail that turns up. From the sample space calculate how many different amounts of money you can have after four tosses and the probability of having each of these amounts.

A pair of a dice thrown, if $5$ appears on at least one of the dice, then the probability that the sum is $10$ or greater is

An experiment consists of recording 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?

A die is thrown, find the probability of following events: A number more than $6$ will appear,

A coin is tossed until a head appears or until the coin has been tossed five times. If a head does not occur on the first two tosses, then the probability that the coin will be tossed $5$ times is