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The figure below shows a shaded rectangular region inside a large rectangle: (pic)

What is the probability that a point chosen inside the large rectangle is not in the shaded region?
A) 8%
B) 16%
C) 50%
D) 84%

The figure below shows a shaded rectangular region inside a large rectangle: (pic-example-1
User Klinger
by
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1 Answer

2 votes

Answer:

D


Explanation:

Probability of falling NOT in the shaded region is "area of white region" divided by "area of whole rectangle (big one)".


Area of whole rectangle:

Area of rectangle = length * width = 10 * 5 = 50


Area of White Region:

First, area of shaded region = length * width = 4 * 2 = 8

Now,

Area of white region = area of whole rectangle - area of shaded rectangle

Area of white region = 50 - 8 = 42


Hence, probability is
(42)/(50)=0.84

0.84 = 84%

Answer choice D is right.





User Luchomolina
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