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 What is the probability that a point chosen inside the large rectangle is not in class=

Respuesta :

Answer:

D


Step-by-step 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 [tex]\frac{42}{50}=0.84[/tex]

0.84 = 84%

Answer choice D is right.