A housing subdivision contains only two types of homes: ranch-style homes ... ...

A housing subdivision contains only two types of homes: ranch-style homes and townhomes. There are twice as many townhomes as ranch-style homes. There are 3 times as many townhomes with pools than without pools. What is the probability that a home selected at random from the subdivision will be a townhome with a pool?
(A) 1/6
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set Y: Probability & Statistics