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 another rectangle of length 7 units and width 3 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? (5 points) a 42% b 58% c 72% d 84%
Answers
Answer:
As shown in solution, it is b option = 58%
Given : A rectangle of length 10 units and width 5 units
Inside this rectangle is a smaller rectangle of length 7 units and width 3 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 = 7 * 3 = 21 sq units
Area not shaded = 50 - 21 = 29 sq units
probability that a point chosen inside the large rectangle is not in the shaded region = 29/50
= 0.58
= 58 %
the probability that a point chosen inside the large rectangle is not in the shaded region is 58 %
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