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Concept

$P(AandB)=0$

By the Addition Rule of Probability, it can be concluded that the probability of $A$ *or* $B$ is equal to the sum of the individual probabilities.

$P(AorB)=P(A)+P(B)$

Below, some examples of mutually exclusive events are presented.

- A given integer number is either even or odd.
- The outcome of tossing a coin is either heads or tails.

Three or more events are mutually exclusive if all pairs are mutually exclusive.

- In a soccer match, a team either wins, loses, or the result is a draw.
- The outcome of rolling a dice is either $1,$ $2,$ $3,$ $4,$ $5,$ or $6.$

Events can be mutually exclusive without being the only possible outcomes.

- A given number is either negative or positive.
- A card randomly drawn from a deck of cards is hearts or clubs.

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