One die is rolled. Define the sample space S of the following:

A : Getting a prime number

B : Getting an odd number

C : Getting a number less than 5

D : Getting a number divisible by 3

Use the sample space and above sets to find:

(i) A ∩ B (ii) B' (iii) C' ∩ D

(iv) A ∪ B (v) C ∩ D

Solution not provided.

Ans. S = {1, 2, 3, 4, 5, 6}

A = {2, 3, 5}, B = {1, 3, 5},

C = {1, 2, 3, 4}, D = {3, 6}

(i) A ∩ B = {3, 5} (ii) B' = {2, 4, 6} (iii) C' ∩ D = {6}

(iv) A ∪ B = {1, 2, 3, 5} (v) C ∩ D = {3}