Practice 10-8

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Name
Class
Date
Practice 10-8
Geometric Probability
Use the dartboard at the right for Exercises 1–3.
24 in.
1. If a dart hits the board, find the probability that it will land
in region X.
2. If a dart hits the board, find the probability that it will land
in region Y.
24 in.
X
Y
Z
3. If a dart hits the board, find the probability that it will land
in region Z.
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4 in.
6 in.
8 in.
Find the probability that a point chosen at random from AK is on the
given segment.
A
B
C
D
E
F
G
H
I
J
K
0
2
4
6
8
10
12
14
16
18
20
4. CF
5. BI
6. GK
7. FG
8. AK
9. AC
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10. Roberto’s trolley runs every 45 minutes. If he arrives at the trolley stop
at a random time, what is the probability that he will not have to wait
more than 10 minutes?
11. The state of Connecticut is approximated by a rectangle 100 mi by
50 mi. Hartford is approximately at the center of Connecticut. If a
meteor hit the earth within 200 mi of Hartford, find the probability
that the meteor landed in Connecticut.
12. A stop light at an intersection stays red for 60 seconds, changes to green
for 45 seconds, and then turns yellow for 15 seconds. If Jamal arrives at
the intersection at a random time, what is the probability that he will
have to wait at a red light for more than 15 seconds?
In each figure, a point between A and B on the number line is chosen at
random. What is the probability that the point is between C and D?
A
13.
15.
C D
B
4
2
0
2
A
C
D B
2
0
2
Geometry Chapter 10
14.
16.
4
A C
D
B
10
0
10
20
A
C
D
B
3
0
3
6
Lesson 10-8 Practice
9
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