(i) A : a number less than 7.
(ii) B : a number greater than 7.
(iii) C : an multiple of 3.
(iv) D : a number less-than 4.
(v) E : an even number greater than 4.
(vi) F : a number is not less than 3.
Also, find, A ∪ B, A ∩ B, B ∪ C, E ∩ F, D ∩ E, A - C, D - E, F', E ∩ F'
A die is rolled.
∴ the sample space, S = {1, 2, 3, ,4, 5, 6}
Event E: the die shows 4
E = {4}
Event F: the die shows an even number
F = {2, 4, 6}
Now,
Hence, E and F are not mutually exclusive.