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Suppose a person is randomly selected. Label each pair of events as mutually exclusive or not mutually exclusive. a. The person is 40 years old; the person is not old enough to drink alcohol legally b. The person plays tennis; the person plays the cello.

Short Answer

Expert verified
a. The pair of events: 'The person is 40 years old; the person is not old enough to drink alcohol legally', are Mutually Exclusive. b. The pair: 'The person plays tennis; the person plays the cello', are Not Mutually Exclusive.

Step by step solution

01

Analyze the first pair of events

The first pair of events is: 'The person is 40 years old; the person is not old enough to drink alcohol legally'. Legally, a person who's 40 years old is old enough to drink in most parts across the globe. Being 40 years old and not being old enough to drink are mutually exclusive events, as they cannot happen at the same time.
02

Analyze the second pair of events

The second pair of events is: 'The person plays tennis; the person plays the cello.' These two activities do not conflict with one another. A person can feasibly partake in both, hence they are not mutually exclusive.

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