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 | 1 year ago |  147

##### Solution :-

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

Answered by Pragya Singh | 1 year ago

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