For a post, three persons A, B and C appear in the interview. The probability of A being selected is twice that of B and the probability of B being selected is thrice that of C. If the post is filled, what the probabilities of A, B and C being selected?

In the following experiment specify appropriate sample space.

A person is noting down the number of accidents along a busy highway during a year.

Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment

$\mathrm{A}:$ 'the sum is even'

$\mathrm{B}:$ 'the sum is a multiple of $3^{\text{'}}$

$\mathrm{C}:$ 'the sum is less than $4\text{'}$

$\mathrm{D}:$ 'the sum is greater than $11\text{'}$

Which pair of these events are mutually exclusive?