Kassandra Mccall

2022-10-03

What is another name for mutually exclusive events?

omeopata25

Another name for mutually exclusive events would be disjoint events. Note that collectively exhaustive is not equivalent to mutual exclusivity, as if a set of events are collectively exhaustive, at least one of the events must occur.
As an example, suppose that you roll a fair six sided die once. The event that you roll a 1 is mutually exclusive with the event that you roll a 6; that is, you cannot roll both a 1 and a 6 by rolling the die a single time. However, there exists a possibility that you will roll neither a 1 nor a 6; ergo, the possibilities are not collectively exhaustive.
(As a note, if you consider six events A-F, where A is the event that you roll a 1 on a single roll of the six sided die, B is the event that you roll a 2, C the event that you roll a 3, D the event you roll a 4, E the event you roll a 5, and F the event you roll a 6, then the set of events A-F are both mutually exclusive and collectively exhaustive; you must roll one of the numbers on the die when you roll the die.)

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