# Mutually exclusive events

Can a mutually exclusive events be independent at the same time?

I know that Binomial distribution is not another representation of a discrete probability distribution, but an example. Can you give two other ways of representing a discrete probability distribution? Or Can a pair of events be both mutually exclusive and independent?

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Can a mutually exclusive events be independent at the same time?

Answer : No

Explanation:

Definition of a mutually exclusive event

If event A happens, then event B cannot, or vice-versa. The two events "it rained on Friday " and "it did not rain on Friday " are mutually exclusive events.

When calculating the probabilities for exclusive events you add the probabilities.

Example.

A pair of dice is rolled. What is the probability that the sum of ...

#### Solution Summary

This answers a question regarding mutually exclusive and independent events.