DRDO CSE 2022 Paper 1 | Question: 5 (c)

Question

Consider rolling of a dice experiment. Let $\text{A}$ be the event of getting an even number and $\mathrm{B}$ be the event of getting a prime number. Write the sets representing the following events.

3. not $\text{B}$

Answer 1

The sample space of rolling a dice is {1, 2, 3, 4, 5, 6}.

The event of getting an even number A = {2, 4, 6}, as these are the only even numbers in the sample space.

The event of getting a prime number B = {2, 3, 5}, as these are the only prime numbers in the sample space.

The complement of B, denoted by B', is the event of not getting a prime number. The numbers in the sample space that are not prime are {1, 4, 6}. Thus, B' = {1, 4, 6}.