Differentiate between exhaustive events and sample space.

How to make a sample space for an experiment.

Sample Space

The sample space of an experiment is the set of all possible outcomes. The complete list of all possible outcomes of a random experiment is sample space of the experiment.

If the experiment is tossing a coin, the sample space is the set {head, tail}.

If the experiment is tossing a die, the sample space is {1, 2, 3, 4, 5, 6}.

Exhaustive Events

One or more events are said to be exhaustive when they are such that at least one of the events compulsorily occurs.

For example, when a die is thrown possible outcomes are {1, 2, 3, 4, 5, 6} then out of these 6 outcomes, one of the outcome will definitely occur whenever a dice is thrown.

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