Mutually Exclusive Events In Probability Theory And Statistics

Mutually Exclusive

statistical term describing two or more events that cannot happen simultaneously

Mutually exclusive is a term used in probability theory and statistics to describe events that cannot occur at the same time. In other words, if one event happens, the other cannot happen simultaneously.

For example, flipping a coin can result in either heads or tails, but not both at once. Hence, the events of obtaining heads and obtaining tails when flipping a coin are mutually exclusive events.

Another example could be a person selecting a red card and a black card from a deck of cards. These events are mutually exclusive because once a person selects a red card, they cannot select a black card at the same time.

It is important to note that if two events are not mutually exclusive, they are referred to as overlapping events because it is possible for them to happen simultaneously.

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