Question

Give one example of 1)compound event. 2)Exhaustive event.

Answer 1

Exhaustive events can be either elementary or even compound.  In cases, when we have a single event it depends on the event whether it is exhaustive or not.

Exhaustive events may or may not be equally likely and mutually exclusive. There is no any particular formula to find the exhaustive events, but sure we are able to tell that events are exhaustive or not after go through below examples.


1) Consider the experiment of throwing a fair die and the event of getting a number less than or equal to 6. Now this particular event is certain in spite of being a single event whenever the die is thrown and hence this single event is also exhaustive.


2) Consider the die throwing experiment. Let the events be getting a number which is multiple of 2 {2, 4, 6} and event of getting factors of 6 {1, 2, 3, 6} and event of getting a {5}. Clearly all these events together are exhaustive.



Compound events are those events which have more than one experiments occurring together. For example, rolling a dice and tossing a coin together will be known as a compound event. The sample space of compound events is obtained using lists, table and tree diagrams