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Geometric Probability

Total questions: 13

Worksheet time: 39mins

Name
Class
Date
1.
If a stone is dropped at random on the arrangement of tiles shown, what is the probability the stone lands on a black tile?
a)
5/9
b)
4/9
c)
1/2
d)
1/9
2.
This game board is made up of concentric circles. The center circle has a diameter of 4 inches. Each successive ring has a radius 2 inches greater than the ring before. Find the probability of scoring 80 points.
a)
2/3
b)
1/3
c)
3/4
d)
1/4
3.
Find the geometric probability of a marble falling on the shaded region of the figure. 
a)
15.3%
b)
24.5%
c)
26.9%
d)
21.5%
4.
Find the probability that a point K selected randomly on AE , is on BC. Express your answer as a fraction.
a)
1/2
b)
2/4
c)
4/8
d)
3/8
5.
Find the probability that a randomly chosen point in the figure lies in the shaded region.
a)
94.8%
b)
80%
c)
60%
d)
45.6%
6.
Find the probability that a randomly chosen point in the figure lies in the shaded region.
a)
52.3%
b)
51.4%
c)
47.6%
d)
45.7%
7.

A point is randomly chosen on  . Find the probability of picking a point  NOT on  BC‾\overline{BC}  

a)

13\frac{1}{3}

b)

34\frac{3}{4}

c)

23\frac{2}{3}

d)

712\frac{7}{12}

8.
Find the probability of Lose a Turn for the spinner shown.
a)
1/9
b)
1/4
c)
2/9
d)
7/36
9.

The dartboard above is made up of three concentric circles with radii 1, 3, and 5 and Assuming that a dart thrown will land randomly on the dartboard, what is the probability that it lands in the green region?

a)

0.32

b)

0.36

c)

0.40

d)

0.60

10.

Use the spinner to find the probability of the pointer landing in regions A or C.

a)

18\frac{1}{8}

b)

724\frac{7}{24}

c)

16\frac{1}{6}

d)

1724\frac{17}{24}

11.

You are trying to catch a bus that arrives every 30 minutes, beginning on the hour.  If you arrive at the bus stop at a random time, what is the probability that you just missed the bus by 5 minutes or less?

 Write your answer as percent rounded to one decimal place.

(a)  

12.

You go to an amusement park that has shuttles to take you from the parking lot to the main entrance.  If the shuttles come every 3 minutes, what is the probability that you barely make the next shuttle by 10 seconds or less? Write your answer as a percent rounded to one decimal place.

(a)  

13.

Suppose that your school day begins at 8:00am and ends at 2:30pm.  You eat lunch at 12:00 noon.  If there is a fire drill at a random time during the day, what is the probability that it occurs before lunch? Write your answer as a percent rounded to one decimal place.

 

(a)