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Probability

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Probability

by mehulv » Fri Jun 11, 2010 2:33 am
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) 1/5 (C) 1/4 (D) 1/3 (E) 1/2

According to me answer should be E
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by Rahul@gurome » Fri Jun 11, 2010 4:37 am
Let there are 3 homes in the subdivision. Then 2 will be town homes and 1 will be ranch-style home.
So, probability of selecting a town home = 2/3.
Since, there are 3 times as many townhomes with pools than without pools so probability that a town home will have a pool is 3/4.

Hence, required probability = 2/3 * 3/4 = 1/2

The correct answer is (E).
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