NCERT Solutions
Class 11 Maths
Probability
Ex.16.2 Q.2
A die is thrown. Describe the following events:
(1) A: a number less than 7
(2) B: a number greater than 7
(3) C: a multiple of 3
(4) D: a number less than 4
(5) E: an even number greater than 4
(6) F: a number not less than 3
Also find A ∪ B, A ∩ B, E ∪ F, D ∩ E, A – C, D – E, F′, E ∩ F′
When a die is thrown, the sample space is given by S = {1, 2, 3, 4, 5, 6}.
(1) A: a number less than 7 = {1, 2, 3, 4, 5, 6}
(2) B: a number greater than 7 = ф
(3) C: a multiple of 3 = {3, 6}
(4) D: a number less than 4 = {1, 2, 3}
(5) E: an even number greater than 4 = {6}
(6) F: a number not less than 3 = {3, 4, 5, 6}
Now,
A U B = {1, 2, 3, 4, 5, 6},
A ∩ B = ф
A U C = {3, 6},
E ∩ F = {6}
D ∩ E = ф,
A – C = {1, 2, 4, 5}
D – E = {1, 2, 3},
F’ = {1, 2}
E ∩ F’ = ф