# statistics

posted by
**Alecia**
.

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 No Fireplace

Garage 50 30

No Garage 10 10

what is the probability that the home selected has a garage, given that it has a fireplace?

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

2 marks c. Are the events F and G mutually exclusive? Why?