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Mutually exclusive events from the logic and probability point of view are events that cannot occur simultaneously. That means two events mutually exclusive can’t happen at the same time. For instance, “running forward” and “running backward” are considered as being two events mutually exclusive. Another example is when a coin is tossed, we have this type of event. We can’t toss a coin and get both a heads and tails side. Therefore “tossing Heads” and tossing tails” are mutually exclusive events.
According to to Investopedia, “Mutually exclusive” is a statistical term used to describe two or more events that cannot occur simultaneously. It is often used to describe a situation where the occurrence of one event is not influenced or caused by another event. In other words, it is impossible to roll a five and a three on a single die at the time. Also, someone with $10,000 to invest cannot simultaneously buy $10,000 worth of stocks and invest $10,000 in a mutual fund.