Question

All outcomes of a sample space are mutually exclusive. State true or false. False true

Answer 1

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Answer 2

All outcomes of a sample space may not be mutually exclusive. Hence, the given statement is false.

• Sample space is the set of all possible outcomes of an experiment.
• Mutually exclusive events are the events which cannot occur at the same time.
• The total number of all possible elementary outcomes in a random experiment are known as exhaustive events.
• Collectively exhaustive events are the outcomes if one of the events must occur.
• Therefore, mutually exclusive events and collectively exhaustive events contain all possible outcomes of a sample space and they do not share any common outcomes.