Question

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

Answer 1

When a die is thrown, the sample space is given by S = {1, 2, 3, 4, 5, 6}.Accordingly:
(i) A = {1, 2, 3, 4, 5, 6}
(ii) B = Φ
(iii) C = {3, 6}
(iv) D = {1, 2, 3}
(v) E = {6}
(vi) F = {3, 4, 5, 6}

A U B = {1, 2, 3, 4, 5, 6}, A ∩ B = Φ
A U C = {3, 6}, E ∩ F = {6}
D ∩ E =Φ, A – C = {1, 2, 4, 5}
D – E = {1, 2, 3},
F’ = {1, 2}
E ∩ F’ = Φ