#### description

- Types of Event - Exhaustive Events

#### notes

Consider the experiment of throwing a die. We have S = {1, 2, 3, 4, 5, 6}. Let us define the following events

A: ‘a number less than 4 appears’,

B: ‘a number greater than 2 but less than 5 appears’ and

C: ‘a number greater than 4 appears’.

Then A = {1, 2, 3}, B = {3,4} and C = {5, 6}. We observe that

A ∪ B ∪ C = {1, 2, 3} ∪ {3, 4} ∪ {5, 6} = S.

Such events A, B and C are called exhaustive events.