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

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.

2. $\mathrm{A}$ and $\mathrm{B}$

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 intersection of A and B, denoted by A ∩ B, is the event of getting a number that is both even and prime. The only number in the sample space that is both even and prime is 2. Thus, A ∩ B = {2}