Question

In an experiment of rolling of a fair die, let A, B and C be

three events defined as-

A: a number which is a perfect square

B: a prime number

C: a number which is greater than 5

Identify the events that are MUTUALLY EXCLUSIVE,

EXHAUSTIVE​

Answer 1

Answer:

Here, the sample space is S={1,2,3,4,5,6}

⇒n(S)=6

A : Getting a prime number ⇒A={2,3,5}

∴n(A)=3

B : Getting a number divisible by 3⇒B={3,6}

∴n(B)=2

C : Getting a perfect square ⇒C={1,4}

∴n(C)=2

Now, A∪B∪C={1,2,3,4,5,6}

Thus, the events A,B and C are mutually exhaustive events.