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It means that two events cover the spectrum of possible events. For instance, with respect to flipping a coin, the event of getting heads and the event of getting tails are mutually exhaustive. There is not another outcome of events possible when flipping a coin.

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What does mutual exhaustive?

Mutually exhaustive refers to a set of outcomes or events in which all possible scenarios are accounted for, ensuring that at least one of the outcomes must occur. In other words, when events are mutually exhaustive, they cover the entire sample space, leaving no possibility unconsidered. This concept is often used in probability and statistics to ensure comprehensive analysis of events. For example, the outcomes of flipping a coin (heads or tails) are mutually exhaustive.


What is the definition of mutually exclusive events?

The definition of mutually exclusive events is that the events can't occur at the same time. For example, you can't flip a coin and get a head and a tail; they are mutually exclusive events.


If a set of events are collectively exhaustive and mutually exclusive what does the sum of the probabilities equal?

1


When events are mutually exclusive and exhaustive then the sum of the individual probabilities of each event in the set must equal 1.00?

Yes.


Term for two mutually exclusive words like death and life?

Mutually exclusive. The two events can also be exhaustive if there is no other possibility. For example, if you believe in a state of spiritual limbo, then there is a third possible outcome. In that case death and life are no longer exhaustive.


What is the definition of collectively exhaustive events?

It is a set of events that, taken together, include all possible outcomes.


What is the opposite of mutually exclusive?

The opposite of mutually exclusive is collectively exhaustive, meaning that the options or events being considered cover all possible outcomes without any overlap.


What is the definition of mutually inclusive events?

Any two events in which one cannot happen without the other.


If two events are mutually exclusive can they occur concurrently?

No, by definition, muatually exclusive cannot occur together .


What is the rule for stratified sampling?

Your groups should be mutually exclusive and collectively exhaustive.


Can two events be mutually exclusive and independent simultaneously?

No, two events cannot be mutually exclusive and independent simultaneously. Mutually exclusive events cannot occur at the same time, meaning the occurrence of one event excludes the possibility of the other. In contrast, independent events are defined such that the occurrence of one event does not affect the probability of the other occurring. Therefore, if two events are mutually exclusive, the occurrence of one event implies that the other cannot occur, which contradicts the definition of independence.


Define exhaustive events and what is it mean?

A sets events is said to be exhaustive if the performance of the experiment always results in the accurance of atleast one of them.