A die is thrown. Describe the following events:

(i) A: a number less than 7

(ii) B: a number greater than 7

(iii) C: a multiple of 3

(iv) D: a number less than 4

(v) E: an even number greater than 4

(vi) F: a number not less than 3

Also find A B, A B, B C, E F, D E, A – C, D – E, E ∩ F’, F’

When the die is rolled the sample space will consist of following outcomes

S = (1, 2, 3, 4, 5, 6)

According to the given conditions

(i) A: a number less than 7

A= (1, 2, 3, 4, 5, 6)

(ii) B: a number greater than 7

B= (ϕ) as there is no number greater than 7 on the die.

(iii) C: a multiple of 3

C= (3, 6)

Only two numbers are multiple of 3 in the given sample space.

(iv) D: a number less than 4

D= (1, 2, 3)

(v) E: an even number greater than 4

E = (6)

(vi) F: a number not less than 3

F= (3, 4, 5, 6)