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Simple Probability: Theoretical and Experimental

Total questions: 56

Worksheet time: 56mins

Name
Class
Date
1.
Based on the chart, what is the experimental probability of pulling a green marble?
a)
1/8
b)
8/25
c)
8/100
d)
7/8
2.

10 M&Ms are in a bag, 4 red, 2 blue, 1 green and 3 brown. What is the probability of pulling out a blue candy?

a)

1

b)

2/10

c)

1/5

d)

3/10

3.

10 M&Ms are in a bag, 4 red, 2 blue, 1 green and 3 brown. What is the probability of pulling out a red candy?

a)

2/5

b)

2/10

c)

1/5

d)

4/10

4.

Alphabet magnets are placed in a bag(one of each letter). What is the probability of pulling out the letter z?

a)

25/26

b)

5/26

c)

1/13

d)

1/26

5.

You have 20 coins in your wallet, 9 quarters, 5 dimes, 2 nickels and 4 pennies. What is the probability of pulling out a penny?

a)

4/20

b)

1/5

c)

2/10

d)

16/20

6.

You have 20 coins in your wallet, 9 quarters, 5 dimes, 2 nickels and 4 pennies. What is the probability of pulling out a dime?

a)

1/4

b)

5/10

c)

5/20

d)

15/20

7.
What is the probability of landing on the color blue on the spinner?
a)
3/3
b)

1

c)
3/12 or 1/4
d)

3/9 or 1/3

8.
What is the probability of the spinner landing on red?
a)
5/12
b)

7/12

c)
5/5
d)

5/10 or 1/2

9.

A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?

a)

3/10

b)

3/9

c)

1/10

d)

1/9

10.

Papa Johns wants to determine how often it delivers to three different areas of Twinsburg. The table shows the areas from a random sample of 80 deliveries. Based on this data, if the driver makes 200 deliveries, how many will be to the southern area of Twinsburg?

a)

35

b)

55

c)

80

d)

110

11.
A spinner has 5 sections of equal size labeled P, Q, R, S, and T. The arrow of this spinner is spun 15 times and landed 4 times on the section labeled Q.
Which statement best describes the experimental probability and theoretical probability of the arrow landing on the section labeled Q? 
a)
The experimental probability is 4/15, and the theoretical probability is 1/5.
b)
The experimental probability is 1/5, and the theoretical probability is 1/5.
c)
The experimental probability is 4/15, and the theoretical probability is 4/15.
d)
The experimental probability is 1/5, and the theoretical probability is 4/15.
12.

Ten cards numbered 1 through 10 mixed together and then one card is drawn. If you draw 80 times, how many times would you pick a number less than 5?

13.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy?
a)
2/18
b)
1/9
c)
2/20
d)
1/10
14.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
15.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a "M"?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
16.

What is the probability of spinning the spinner and landing on and A? (Remember to simplify your answer)

a)

1/8

b)

3/4

c)

3/8

d)

1/4

17.

What is the probability of spinning the spinner and landing on blue?

a)

3/8

b)

1/8

c)

3/4

d)

1/4

18.

What is the probability of flipping this quarter and landing on tails?

a)

1/4

b)

1/3

c)

1/2

d)

2/3

19.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
20.

P(cube) =

a)

1

b)

1/2

c)

1/6

d)

1/3

21.

If the probability of drawing a short straw is 3/10 and there are 100 straws in all, how many short straws must there be?

a)

3

b)

10

c)

13

d)

30

22.

The probability of a car having a defect when coming off the assembly line is 3/1000 . Last year 12 cars had defects. How many cars were manufactured in total last year?

a)

1000

b)

2000

c)

3000

d)

4000

23.

10) The table shows the types of movies and the number of DVDs rented by customers at a store in one day.

Based on the data in the table, what is the probability that a random customer will not rent a drama?

a)

14\frac{1}{4} because the probability of renting a drama is 34\frac{3}{4} .

b)

34\frac{3}{4} because the probability of renting a drama is 14\frac{1}{4} .

c)

45\frac{4}{5} because the probability of renting a drama is 15\frac{1}{5} .

d)

15\frac{1}{5} because the probability of renting a drama is 45\frac{4}{5} .

24.

12) Mitsu will be randomly assigned to a seat on an airplane. There are a total of 50 seats on the plane. Of these seats, 16 are aisle seats, and the rest are window seats. What is the probability, as a percent, that Mitsu will be assigned to a window seat? Record your answer. Be sure to use the correct place value.




(a)  

25.

13) Nathan has a box of 100 crayons. 30 of them are shades of red. 20 of them are shades of green. 25 of them are shades of blue. 15 of them are shades of yellow, and 10 of them are other colors. If he reaches into his box without looking, what is the probability he will get a shade of blue?

a)

310\frac{3}{10}

b)

35\frac{3}{5}

c)

14\frac{1}{4}

d)

34\frac{3}{4}

26.

14) Peggy has 6 red shirts, 8 pink shirts, 4 blue shirts, and 3 white shirts hanging in her closet. If she reaches into her closet without looking, what is the probability that she will not pull out a white shirt?


a)

17\frac{1}{7}

b)

27\frac{2}{7}

c)

47\frac{4}{7}

d)

67\frac{6}{7}

27.

15) Hank has 200 pieces of candy in a jar. 20 of them are chocolate, 90 of them are butterscotch, 40 of them are strawberry, and 50 of them are peppermint. If he reaches into the jar without looking, what is the probability he will pull out a piece of chocolate candy?


a)

110\frac{1}{10}

b)

120\frac{1}{20}

c)

15\frac{1}{5}

d)

910\frac{9}{10}

28.

17) Brandi wants to participate in an after-school program. She can choose between one art class, three dance classes, two gymnastics classes, or three sports classes. To help her decide, Brandi will write the name of each class on a slip of paper and draw one slip out of a bag.

What is the probability that Brandi does NOT draw a dance class?



a)

34\frac{3}{4}

b)

13\frac{1}{3}

c)

14\frac{1}{4}

d)

23\frac{2}{3}

29.
A spinner is marked with four sections and was spun 100 times. Is this experimental or theoretical probability?
a)
experimental
b)
theoretical
30.
Jackson flipped a coin 18 times and got heads 6 of those times. What is the experimental probability of flipping heads? 
a)
1/3
b)
1/2
c)
2/3
d)
I'm not sure how to do this problem. 
31.
You flip a coin 20 times and record the results. Is this experimental or theoretical probability?
a)
Experimental
b)
Theoretical
32.
Find the experimental probability of spinning Letter Q.
a)
15/15
b)
3/10
c)
3/50
d)
7/10
33.
Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble has an experimental probability of 1/5?
a)
Yellow
b)
Red
c)
Blue
d)
Green
34.

If the spinner below was spun 100 times, about how many times would you expect the spinner to land on red?

a)

20

b)

25

c)

15

d)

35

35.

If the spinner below is spun 12 times, how many times can you expect the spinner to land on R?

(a)  

36.

The following table shows the results of a survey in which 50 people were asked to name their favorite sport.


Based on these results, how many people out of 1000 would you expect to pick soccer as their favorite sport?

a)

240

b)

120

c)

250

d)

225

37.

Tom solved 9 out of the 15 practice questions for a test correctly. If the actual test is 35 questions, how many can Tom expect to solve correctly?

a)

In the actual test Tom is expected to solve 21 questions correct

b)

In the actual test Tom is expected to solve 25 questions correct

c)

In the actual test Tom is expected to solve 12 questions correct

d)

In the actual test Tom is expected to solve 15 questions correct

38.

An envelope contains 3 different colored cards. Tyler reached in, pulled out a card, recorded the color, and put the card back. He did this 50 times.


Based on these results, what is the best prediction as to the number of green cards he would pick in 100 times?

a)

50

b)

25

c)

100

d)

75

39.

What is theoretical probability?

a)

Probability based on experimental data

b)

Probability based on mathematical calculations

c)

Probability based on intuition

d)

Probability based on guesswork

40.

What is experimental probability?

a)

The probability calculated using theoretical formulas

b)

The probability calculated by conducting experiments and collecting data

c)

The probability calculated by performing mathematical calculations

d)

The probability calculated by using real-world applications

41.

Joe spins the spinner 35 times.

How many times should he expect it to not land on yellow?

a)

7 times

b)

6 times

c)

28 times

d)

27 times

42.

Jill rolls a number cube 30 times.

How many times should she expect it to land on a 4?

a)

5 times

b)

4 times

c)

6 times

d)

8 times

43.

A number cube is rolled 100 times.

What is the best prediction for the number of times it will land on 7?

a)

3 times

b)

4 times

c)

5 times

d)

0 times

44.

A number cube is rolled 24 times.

What is the best prediction for the number of times it will land on 5?

a)

3 times

b)

4 times

c)

5 times

d)

6 times

45.

A school newspaper randomly surveyed students about which candidate they will choose. The results are in the chart.

If the school has 400 students, we should expect Sara to get how many votes in the election?

a)

120 votes

b)

105 votes

c)

135 votes

d)

90 votes

46.

George randomly selected a paper clip, records its color, and returns it to the box.

He does this 300 times. How many times should he expect to get a red paper clip?

a)

100 times

b)

150 times

c)

75 times

d)

60 times

47.
Drake made 14 out of 20 free throw shots.  About how many out of the next 30 free throw shots would you expect him to make?
a)
20
b)
21
c)
22
d)
25
48.

a)

20

b)

80

c)

60

d)

50

49.
a)
20
b)
34
c)
84
d)
350
50.
a)
10820
b)
10920
c)
11820
d)
11920
51.
a)
1247
b)
1257
c)
1347
d)
1357
52.
a)
141
b)
151
c)
161
d)
171
53.
a)
22 million
b)
33 million
c)
44 million
d)
55 million
54.
a)
13
b)
14
c)
15
d)
16
55.
a)
145
b)
155
c)
245
d)
255
56.
a)
156
b)
166
c)
176
d)
186

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