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- Collectively_exhaustive_events abstract "In probability theory and logic, a set of events is jointly or collectively exhaustive if at least one of the events must occur. For example, when rolling a six-sided die, the outcomes 1, 2, 3, 4, 5, and 6 are collectively exhaustive, because they encompass the entire range of possible outcomes.Another way to describe collectively exhaustive events, is that their union must cover all the events within the entire sample space. For example, events A and B are said to be collectively exhaustive ifwhere S is the sample space.Compare this to the concept of a set of mutually exclusive events. In such a set no more than one event can occur at a given time. (In some forms of mutual exclusion only one event can ever occur.) The set of all possible die rolls is both collectively exhaustive and mutually exclusive. The outcomes 1 and 6 are mutually exclusive but not collectively exhaustive. The outcomes "even" (2,4 or 6) and "not-6" (1,2,3,4, or 5) are collectively exhaustive but not mutually exclusive. In some forms of mutual exclusion only one event can ever occur, whether collectively exhaustive or not. For example, tossing a particular biscuit for a group of several dogs cannot be repeated, no matter which dog snaps it up.One example of an event that is both collectively exhaustive and mutually exclusive is tossing a coin. The outcome must be either heads or tails, or p (heads or tails) = 1, so the outcomes are collectively exhaustive. When heads occurs, tails can't occur, or p (heads and tails) = 0, so the outcomes are also mutually exclusive.".
- Collectively_exhaustive_events wikiPageID "1519880".
- Collectively_exhaustive_events wikiPageRevisionID "605310512".
- Collectively_exhaustive_events hasPhotoCollection Collectively_exhaustive_events.
- Collectively_exhaustive_events subject Category:Probability_theory.
- Collectively_exhaustive_events subject Category:Statistical_terminology.
- Collectively_exhaustive_events comment "In probability theory and logic, a set of events is jointly or collectively exhaustive if at least one of the events must occur. For example, when rolling a six-sided die, the outcomes 1, 2, 3, 4, 5, and 6 are collectively exhaustive, because they encompass the entire range of possible outcomes.Another way to describe collectively exhaustive events, is that their union must cover all the events within the entire sample space.".
- Collectively_exhaustive_events label "Collectively exhaustive events".
- Collectively_exhaustive_events label "Полная группа событий".
- Collectively_exhaustive_events sameAs m.057ll7.
- Collectively_exhaustive_events sameAs Q4370333.
- Collectively_exhaustive_events sameAs Q4370333.
- Collectively_exhaustive_events wasDerivedFrom Collectively_exhaustive_events?oldid=605310512.
- Collectively_exhaustive_events isPrimaryTopicOf Collectively_exhaustive_events.