9.
(06.04 MC)
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%
58%
The area of the shaded small rectangle is 7 units * 3 units = 21 square units.
The area of the large rectangle is 10 units * 5 units = 50 square units.
The probability that a point chosen inside the large rectangle is not in the shaded region is (50-21) / 50 = 29 / 50 = 58%.