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Suppose that A, B and C are events. Prove or disprove the statement “A, B and...

Suppose that A, B and C are events. Prove or disprove the statement “A, B and C are mutually exclusive if and only if A,

B and C are exhaustive”.

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Answer #1

If two events are mutually exclusive, then that means that if one of the events occurs, then the probability of the occurrence of the other event is zero.

A collection of events is exhaustive if at least one of them must occur

mutually exclusive events will be exhaustive if outcome of an experiment must be one out of the sample space of mutually exclusive events

For example, the blood group of a person. The events are {A, B, AB, O}.

Hence statement is wrong.

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