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Not necessarily. In fact, in binary situations they can be totally dependent - depends on the experiment.

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11y ago

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In maths What is Mutually exclusive probability?

Mutually exclusive means they are independent of one another. So, the two events are independent of one another.


Can 2 events be both independent and mutually exclusive?

Yes.


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.


If two events A and B are mutually exclusive then they are independent?

No, independence means they are not related. Mutually exclusive means they cannot occur at the same time.


The events in an experiment are mutually exclusive if only one can occur at a time true or false?

provide one business-related example each, with explanation, for mutually exclusive and independent events


What is used in probabilty when looking for the outcomes of 2 events?

Whether the events are independent or dependent, whether or not they are mutually exclusive.


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.


What is potentially inclusive events?

It is the opposite of mutually exclusive. Potentially inclusive are events that can happen at the same time, as mutually exclusive events can't.


What function do you use to calculate the probabilities of compound events?

To calculate the probabilities of compound events, you can use the multiplication rule or the addition rule, depending on whether the events are independent or mutually exclusive. The multiplication rule is used when the events are independent, and you multiply the probabilities of the individual events. The addition rule is used when the events are mutually exclusive, and you add the probabilities of the individual events.


If two events are mutually exclusive then they must be dependent?

No, if two events are mutually exclusive, they cannot both occur. If one occurs, it means the second can not occur.


Can two mutually exclusive events occur at the same time?

No because the term mutually exclusive implies the the trials that could result in these events are sequenced in time.


What is True about mutually exclusive events?

At most one of the events can occur.