Mutually Exclusive Events
Definition
Mutually exclusive events are events that cannot occur at the same time. If one event happens, the other event cannot happen.
Analogy
Think of mutually exclusive events like choosing between two different ice cream flavors. You can only choose one flavor at a time, so if you choose chocolate, you cannot also have vanilla.
Related terms
Complementary Events: Two events are complementary if they cover all possible outcomes and do not overlap.
Independent Events: Independent events are events where the outcome of one event does not affect the outcome of another event.
Union of Events: The union of two or more events is the set of outcomes that belong to either one or both of the events.
"Mutually Exclusive Events" appears in:
Study guides (2)
Additional resources (1)
Practice Questions (7)
- What is the defining characteristic of mutually exclusive events?
- Which of the following statements is true for mutually exclusive events?
- In a sample space with mutually exclusive events A and B, if P(A) = 0.6, what is P(B)?
- Which of the following scenarios represents mutually exclusive events?
- In a sample space with mutually exclusive events A and B, if P(A) = 0.6, what is P(A | B) (the probability of event A given that event B occurs)?
- Which of the following statements about mutually exclusive events is true?
- In a Venn diagram representing two mutually exclusive events A and B, the occurs with the regions corresponding to A and B?
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