Two dice are thrown. The probability that the sum of numbers appearing is more than $10$, is

Let $A$ be the event that the absolute difference between two randomly choosen real numbers in the sample space $[0,60]$ is less than or equal to $a$. If $P(A)=\frac{11}{36}$, then $a$ is equal to $...............$.

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

Two dice are thrown. The events $A,\, B$ and $C$ are as follows:

$A:$ getting an even number on the first die.

$B:$ getting an odd number on the first die.

$C:$ getting the sum of the numbers on the dice $\leq 5$

State true or false $:$ (give reason for your answer)

Statement : $A$ and $B$ are mutually exclusive and exhaustive

If the probabilities of boy and girl to be born are same, then in a $4$ children family the probability of being at least one girl, is

A die is thrown, find the probability of following events: A number less than or equal to one will appear,