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)




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