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 ∩ FI, FI
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 = Ø
(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
B 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
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