A small city has three automobile dealerships: a GM dealer selling Chevrolets and Buicks; a Ford dealer selling Fords and Lincolns; and a Toyota dealer. If an experiment consists of observing the brand of the next car sold, then the events A = {5 Chevrolet, 6 Buick} and B = {5 Ford, 6 Lincoln} are mutually exclusive because the next car sold cannot be both a GM product and a Ford product.

Identify three events that are mutually exclusive.

Question

Mathematics

Clayton Harmon

16 February, 15:41

A small city has three automobile dealerships: a GM dealer selling Chevrolets and Buicks; a Ford dealer selling Fords and Lincolns; and a Toyota dealer. If an experiment consists of observing the brand of the next car sold, then the events A = {5 Chevrolet, 6 Buick} and B = {5 Ford, 6 Lincoln} are mutually exclusive because the next car sold cannot be both a GM product and a Ford product.

Identify three events that are mutually exclusive.

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Answers (1)

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River Love · Answer 1

Event A = { Chevrolet, Buick }

Event B = { Ford, Lincoln }

Event C = { Toyota }

Step-by-step explanation:

- Mutually exclusive events are such that their probability of coming true simultaneously is zero. If we consider set notations we could say.

P (A & B) = P (B & C) = P (A & C) = 0

- In our case these events A, B, and C can be defined as:

Answer:

Event A = { Chevrolet, Buick }

Event B = { Ford, Lincoln }

Event C = { Toyota }