What are non-mutually exclusive outcomes?

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Multiple Choice

What are non-mutually exclusive outcomes?

Explanation:
Non-mutually exclusive outcomes are events that can occur at the same time. In other words, there can be an overlap between them. For example, if you roll a die, the result can be both even and greater than 4 (the number 6 fits both), so these two properties are not exclusive. This matters when calculating the probability of “A or B.” Because there can be overlap, you can’t just add P(A) and P(B) without counting the shared cases twice. You use P(A or B) = P(A) + P(B) − P(A and B). If the events were mutually exclusive, there would be no overlap, and you could simply add the probabilities.

Non-mutually exclusive outcomes are events that can occur at the same time. In other words, there can be an overlap between them. For example, if you roll a die, the result can be both even and greater than 4 (the number 6 fits both), so these two properties are not exclusive.

This matters when calculating the probability of “A or B.” Because there can be overlap, you can’t just add P(A) and P(B) without counting the shared cases twice. You use P(A or B) = P(A) + P(B) − P(A and B). If the events were mutually exclusive, there would be no overlap, and you could simply add the probabilities.

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