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

Asked by Abhisek | 11 months ago | 126

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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