lheiannie07 wrote:A housing subdivision contains only two types of homes: ranch-style homes and town homes. There are twice as many town homes as ranch-style homes. There are 3 times as many town homes with pools than without pools. What is the probability that a home selected at random from the subdivision will be a town home with a pool?
(A) 1/6
(B) 1/5
(C) 1/4
(D) 1/3
(E) 1/2
To organize the data, use the following DOUBLE-MATRIX:
There are 3 times as many town homes with pools than without pools.
Let the number of town homes without no pool = 1, implying that the number of town homes with a pool = 3.
The following matrix is yielded:
There are twice as many town homes as ranch-style homes.
Since the number of town homes = 4, the number of ranch-style homes = 2.
The following matrix is yielded:
What is the probability that a home selected at random from the subdivision will be a town home with a pool?
(town homes with a pool)/(total homes) = 3/6 = 1/2.
The correct answer is
E.
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