Three identical dice are rolled. The probability that same number will appear on each of them will be

The sum of two positive numbers is $100$. The probability that their product is greater than $1000$ is

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 $\leq 5$

Describe the events $A$ and $B$

Choose a number $n$ uniformly at random from the set $\{1,2, \ldots, 100\}$. Choose one of the first seven days of the year $2014$ at random and consider $n$ consecutive days starting from the chosen day. What is the probability that among the chosen $n$ days, the number of Sundays is different from the number of Mondays?

Three coins are tossed. Describe Three events which are mutually exclusive but not exhaustive.

A letter is chosen at random from the word $\mathrm {'ASSASSINATION'}$. Find the probability that letter is a vowel.