The figure below shows a shaded rectangular region inside a large rectangle:
A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is a smaller rectangle of length 4 units and width 2 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray.
What is the probability that a point chosen inside the large rectangle is not in the shaded region?
8%
16%
50%
84%
Answers
Given : A rectangle of length 10 units and width 5 units
Inside this rectangle is a smaller rectangle of length 4 units and width 2 units placed symmetrically inside the larger rectangle.
The smaller rectangle is shaded gray.
To Find : the probability that a point chosen inside the large rectangle is not in the shaded region?
8%
16%
50%
84%
Solution:
Area of rectangles = 10 * 5 = 50 sq units
Area of shaded region = 4 * 2 = 8 sq units
Area not shaded = 50 - 8 = 42 sq units
probability that a point chosen inside the large rectangle is not in the shaded region = 42/50
= 0.84
= 84 %
the probability that a point chosen inside the large rectangle is not in the shaded region is 84 %
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