7.8 Geometric Probability (ACC)
Name_______________________________________
Find the probability that an object falling randomly on the figure will land in the shaded region. Write answers
as decimals rounded to the nearest hundredth.
1.
2.
8m
18 m
18 in.
17 m
26 m
3. When a skydiver jumps from an airplane, she usually has a landing area already in mind before the jump.
What if she wanted to land in the shaded target below? What is the probability that she will hit the target
(circle with a diameter of 3 m), assuming that she is certain to land within the 10 m by 10 m square?
4. If an object falls at random on the figure below, what is the probability that it will land in the (a) white
region, and (b) shaded region? Write your answers as a percents rounded to the nearest tenth.
14 m
9m
8m
11 m
5. If a bumble bee randomly lands on the figure below, what is the probability it will land in the unshaded
region? Write your answer as a percent rounded to the nearest tenth.
10 in.
5 in.
10 in.
6. Find the probability that a point chosen at random from AK is on BD . Express your answer as a fraction.
A B C D E F G H I J K
0 1 2 3 4 5 6 7 8 9 10
7. A subway line in New York City runs every 8 minutes. (Hint: Draw a geometric model.)
a. Find the probability (as a percent) that you will have to wait 5 minutes or more for the subway.
b. Find the probability (as a percent) that you will have to wait 2 minutes or less for the subway.
8. The state of Connecticut is approximated by a rectangle 100 mi by 50 mi. Hartford is approximately at the
center of Connecticut. Suppose a meteor hit the earth within 200 mi of Hartford. To the nearest whole
percent, find the probability that the meteor landed in Connecticut. (Hint: Draw a picture)
9. The target below is used for long-range shooting. The square has side lengths of 24 inches in the inner circle
(the bull’s eye) has a diameter of 8 inches. For each question below, write your answer as a percent to the
nearest tenth.
a. Assuming a person hits somewhere on the target, what is the probability he hit’s a bull’s eye?
b. What is the probability he hit’s the outer circular ring?
c. What is the probability he hit’s the shaded region?