Ex 16.2, 2 - A die is thrown. Describe the events: - Chapter 16 - Ex 16.2

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  1. Chapter 16 Class 11 Probability
  2. Serial order wise
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Ex16.2, 2 A die is thrown. Describe the following events: • A: a number less than 7 If the die is thrown, possible outcomes are 1, 2, 3, 4, 5 ,6 S = {1, 2, 3, 4, 5, 6}. A : a number less then 7 A = {1, 2, 3, 4, 5, 6} Ex16.2, 2 (ii) B: a number greater than 7 S = {1, 2, 3, 4, 5, 6} There is no number greater than 7 Hence B = 𝛟 Ex16.2, 2 (iii) C: a multiple of 3 S = {1, 2, 3, 4, 5, 6} C : a multiple of 3 Possible multiple of 3 is 3, 6 Hence, C = {3, 6} Ex16.2, 2 (iv) D: a number less than 4 S = {1, 2, 3, 4, 5, 6} D : a number less than 4 Numbers less than 4 is 1, 2, 3 Hence D = {1, 2, 3} Ex16.2, 2 (v) E: an even number greater than 4 S = {1, 2, 3, 4, 5, 6} E : an even number greater than 4 Even numbers greater than 4 is only 6 Hence E = {6} Ex16.2, 2 (vi) F: a number not less than 3 S = {1, 2, 3, 4, 5, 6} F : a number not less than 3 Numbers not less than 3 are 3, 4, 5 & 6 Hence F = {3, 4, 5, 6} Ex16.2,2 Also find A ∪ B, A ∩B, B ∪ C, E ∩F, D ∩ E, A – C, D – E, E ∩ F′, F′ A ∪ B A = {1, 2, 3, 4, 5, 6} B = ϕ A ∪ B = {1, 2, 3, 4, 5, 6} ∪ ϕ = {1, 2, 3, 4, 5, 6} A ∩ B A = {1, 2, 3, 4, 5, 6} B = ϕ A ∩ B = {1, 2, 3, 4, 5, 6} ∩ 𝜙 = 𝛟 D ∩ E D = {1, 2, 3} E = {6} D ∩ E = {1, 2, 3} ∩ {6} = 𝛟 A – C A = {1, 2, 3, 4, 5, 6} C = {3, 6} A – C = {1, 2, 3, 4, 5, 6} - {3, 6} = {1, 2, 4, 5} E ∩ F’ E = {6} F’ = {1, 2} E ∩ F’ = {6} ∩ {1, 2} = 𝛟

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