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Worksheets

Theoretical Probability

Total questions: 50

Worksheet time: 2hrs 12mins

Name
Class
Date
1.

Two number cubes each have sides that are labeled 1 to 6. Jude rolls the 2 number cubes. What is the probability that the sum of the numbers on the number cubes will equal 4?

a)

1/36

b)

1/18

c)

1/12

d)

1/6

2.

What is the probability of flipping a coin

3 times and getting 3 heads?

a)

1/8

b)

1/4

c)

1/2

d)

3/4

3.

The spinner is spun two times. Determine the probability of landing on red the first spin and on green the second spin .

a)

1/9

b)

1/10

c)

0

d)

1/12

4.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

a)

1/12

b)

1/4

c)

1/8

d)

1/2

5.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

a)

3

b)

1/10

c)

3/10

d)

30%

6.

The theoretical probability of rolling an even number on a dice.

a)

3/6

b)

1/2

c)

1/6

d)

5/6

7.

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

a)

1/9

b)

2/9

c)

5/21

d)

10/21

8.

You pick a marble from this bag.

What is the probability you will choose either a black or white marble?

a)

3/5

b)

9/100

c)

1/10

d)

2/5

9.

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

a)

1/11

b)

1/18

c)

1/36

d)

2/33

10.

You roll two die.

What is the probability you will roll a 4, then roll a number less than 3?

a)

1/36

b)

1/18

c)

1/9

d)

1/6

11.

The numbers 4 through 14 are place in a bowl and drawn at random then replaced after being drawn. What is the probability of drawing the number 14 and then a number less than 12?

a)

2/25

b)

8/121

c)

9/121

d)

1/4

12.

The letters than form the word MISSISSIPPI are placed in a bowl. What is the probability of choosing a vowel, replacing it and then drawing a "P"?

a)

8/121

b)

9/121

c)

1/2

d)

1/4

13.

You have a jar of jelly beans in front of you with the following flavors: 12 are strawberry, 17 are blueberry, 5 are pineapple, and 13 are coconut. What is the probability of selecting either a strawberry or coconut flavored jelly bean replacing it and then drawing either a blueberry or pineapple jelly bean?

a)

0.25

b)

0.51

c)

0.6

d)

0.31

14.

You have a jar of marbles with 7 red, 12 blue, 6 yellow, and 9 white. What is the probability of selecting a marble that is not red, replacing it and then one that is white?

a)

9/68

b)

5/34

c)

63/1156

d)

27/34

15.

What is the probability of rolling a die and getting a 4 twice in a row?

a)

1/6

b)

1/18

c)

1/36

d)

4/9

16.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
17.
You spin the spinner. How many possible outcomes are there?
a)
4
b)
8
c)
1
d)
6
18.
Find the theoretical probability of landing on orange or red if you spin the spinner.
a)
0
b)
3/8
c)
2/8
d)
1/4
19.
In a cup are the numbers 1 - 20. Find the theoretical probability of 
picking a number divisible by 5. 
a)
4/20
b)
1/5
c)
5/20
d)
1/4
20.
In a cup are the numbers 1 - 20. Find the theoretical probability of 
picking an even number. 
a)
10/20
b)
1/2
c)
1/20
d)
20/20
21.
An experiment consists of rolling a fair number cube. Find the theoretical probability of rolling a 3.
a)
1/6
b)
3/6
c)
1
d)
1/2
22.
An experiment consists of rolling a fair number cube. Find the theoretical probability of rolling a number greater than 3.
a)
4, 5, and 6
b)
3/6
c)
3
d)
1/2
23.
An experiment consists of rolling a fair number cube. Find the theoretical probability of rolling an 8.
a)
0
b)
8/6
c)
4/3
d)
1/2
24.
Find the theoretical probability of NOT landing on yellow if you spin the spinner.
a)
1/8
b)
7/8
c)
1
d)
7
25.
What is Theoretical Probability?
a)
The ratio of favorable outcomes to the total number of possible outcomes
b)
The ratio of favorable outcomes to the total number of trials in an experiment
c)
In probability, a controlled, repeated process (such as repeatedly tossing a coin).
d)
A single possible result.
26.

What is the probability of flipping a coin, getting tails?

a)

1/2

b)

1/3

c)

1/4

d)

Never, Tails never fails.

27.

What is the probability of spinning an even number?

a)

30%

b)

33%

c)

50%

d)

67%

28.

What is the probability of spinning yello?

a)

1/11

b)

1/12

c)

1/4

d)

3/4

29.

Roll dice: 1, 2, 3, 4, 5

What is the probability of rolling a number greater than 2?

a)

3/5

b)

4/5

c)

2/5

d)

1/5

30.

If you choose from the following M & M colors, what is the probability that you choose blue? **Remember to simplify**

5 green

6 yellow

8 blue

7 brown

a)

8/18

b)

4/13

c)

8/25

d)

1/3

31.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

*Remember to simplify*

a)

3

b)

1/10

c)

3/10

d)

30%

32.
Find the theoretical probability of NOT landing on yellow if you spin the spinner.
a)
1/8
b)
7/8
c)
1
d)
7
33.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
34.

What is the probability of spinning an odd number?

a)

3/6

b)

1/2

c)

1/3

d)

1/6

35.

What is the probability of spinning a red?

a)

1/5

b)

2/5

c)

1/2

d)

1/4

36.

If you choose from the following M & M colors, what is the probability that you choose brown? **Remember to simplify**

5 green

6 yellow

8 blue

7 brown

a)

7/26

b)

4/13

c)

8/25

d)

1/3

37.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

a)

3

b)

1/10

c)

3/10

d)

30%

38.
What is the Theoretical Probablility of landing on red?
a)
43%
b)
33.3%
c)
40%
d)
36%
39.
What is the Theoretical Probability of not landing on red?
a)
25%
b)
50%
c)
65%
d)
66.7%
40.
An experiment consists of rolling a fair number cube. Find the theoretical probability of rolling an 8.
a)
0
b)
8/6
c)
4/3
d)
1/2
41.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a dime?

a)

2/11

b)

5/6

c)

1/3

d)

5

42.
What is the probability of flipping a coin
3 times and getting 3 heads?
a)
1/8
b)
1/4
c)
1/2
d)
3/4
43.
Dustin has a spinner that is divided into
5 equal-size sections colored red, blue, orange, white, and green. What is the probability that Dustin spins pink on the next spin?
a)
0
b)
0.25
c)
0.5
d)
0.75
44.
A number cube has sides labeled 1 to 6. Hannah rolls the number cube 18 times. How many times can she expect to roll a number less than 3?
a)
2
b)
3
c)
6
d)
8
45.
Flavia has a bag with 8 white balls, 9 red balls, 14 green balls, and 10 orange balls. If she chooses a ball from the bag without looking, which color ball will Flavia be least likely to choose?
a)
white
b)
red
c)
green
d)
orange
46.
Alexander spins a spinner with four equally-sized regions and flips a coin. How many outcomes are possible?
a)
2
b)
6
c)
8
d)
36
47.
Scarlett selects a card at random from a deck that contains 18 red, 12 yellow, and 20 blue cards. What is the probability that she does not select a red card?
a)
13/25
b)
16/25
c)
18/25
d)
24/25
48.
Find the theoretical probability of NOT landing on yellow if you spin the spinner.
a)
1/8
b)
7/8
c)
1
d)
7
49.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
50.
 Kathy spins the spinner below 120 times. 

How many times is the spinner expected to land on yellow?
a)
10
b)
30
c)
40
d)
60