Suppose that 20% of the homes in a neighborhood has a swimming pool in their backyards and 50% has a garage. 15% of homes have both a garage and a swimming pool.
a. What is the probability that a home has a garage but not a swimming pool?
b. What is the probability that a home has neither a garage nor a swimming pool?
c. You see a home in this neighborhood with a garage. Given that the home has a garage, what is the probability that it also has a swimming pool in the backyard?
d. What is the probability that you see two homes in a row with garages in this neighborhood?