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Are the events fireplace and garage independent show your

A realty company has 100 homes listed for sale. Some of these homes have fireplaces, some have garages, and some have neither. A breakdown is provided in the two-way classification table below.

Fireplace (F) No Fireplace (F)

Garage (G) 50 30

No Garage (G) 10 10

Are the events Fireplace and Garage independent? Show your proof.

Are the events F and G mutually exclusive? Why?

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