Question

You work for a temporary employment agency. You live on the west side of town and prefer to work there. The work assignments are spread evenly throughout the rectangular region shown. Find the probability that an assignment chosen at random for you is on the west side of town.

• A. 25%
• B. 28%
• C. 30%
• D. 20%

Answer 1

The correct option is B 28%

The west side of town is triangular.
Its area is $$\frac{1}{2}\times 2.25\times 1.5$$ =1.69 square miles.

For the rectangle area breadth = 1.5 and the lenght = 2.25 + 1.75 = 4.

Area of the rectangular region is $1.5\times 4$, or 6 square miles.

So, the probability that the assignment is on the west side of the town is
$\Rightarrow$P(Assignment is on west side) = $$\frac{Areaofwestside}{Areaofrectangularregion}=\frac{1.69}{6}$$=0.28

So, the probability that the work assignment is on the west side is about 28%.