# Question: The CEO of a mid sized company has to relocate to

The CEO of a mid-sized company has to relocate to another part of the country. To make it easier, the company has hired a relocation agency to help purchase a house. The CEO has 5 children and so has specified that the house have at least 5 bedrooms, but hasn’t put any other constraints on the search. The relocation agency has narrowed the search down to the houses in the table and has selected one house to showcase to the CEO and family on their trip out to the new site. The agency doesn’t know it, but the family has its heart set on a Cape Cod house with a fireplace. If the agency selected the house at random, without regard to this:
a) What is the probability that the selected house is a Cape Cod?
b) What is the probability that the house is a Colonial with a fireplace?
c) If the house is a Cape Cod, what is the probability that it has a fireplace?
d) What is the probability that the selected house is what the family wants?

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