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what is mutually exclusive set and exhaustive events
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In probability theory and logic, a set of events is jointly or collectively exhaustive if at least one of the events must occur. ... The events 1 and 6 are mutually exclusive but not collectively exhaustive. The events "even" (2,4 or 6) and "not-6" (1,2,3,4, or 5) are collectively exhaustive but not mutually exclusive.
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