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)
42%
58%
72%
84%
To find the probability that a point chosen inside the large rectangle is not in the shaded region, we need to first find the area of the shaded region and then find the area of the large rectangle.
Area of the large rectangle = length * width = 10 * 5 = 50 square units
Area of the shaded region = (10-7)(5-3) = 3 * 2 = 6 square units
Therefore, the probability that a point chosen inside the large rectangle is not in the shaded region is:
(50 - 6) / 50 = 44 / 50 = 88 / 100 = 88%.
So, the correct answer is 88%.