Question

i want example of exhaustive event

Answer 1

Sample Space = {1, 2, 3, 4, 5, 6}.

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 see,
 Union of the three sets, gives,
A ∪ B ∪ C = {1, 2, 3} ∪ {3, 4} ∪ {5, 6} = S. 

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

EVENTS are said to be EXHAUSTIVE if atleast one of them necessarily occurs whenever the experiment is performed.