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Theoretical & Experimental Probability

Total questions: 40

Worksheet time: 3hrs 20mins

Name
Class
Date
1.
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
2.
Isidro flips a fair coin 40 times. How many times can he expect heads to appear?
a)
4
b)
10
c)
15
d)
20
3.
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
4.
Find the theoretical probability of NOT landing on yellow if you spin the spinner.
a)
1/8
b)
7/8
c)
1
d)
7
5.
Find the theoretical probability of landing on black if you spin the spinner.
a)
0%
b)
100%
c)
50%
d)
25%
6.
What is the theoretical probability of picking a vowel from the letters A, B, C, D, and E?
a)
2/5
b)
2/3
c)
1/5
d)
25%
7.
Find the experimental probability:
Roll dice:  1, 3, 3, 4, 4
P(1) = 
a)
3/5
b)
1/6
c)
2/5
d)
1/5
8.
Find the experimental probability:
Roll dice:  1, 3, 3, 4, 4
P(3) = 
a)
3/5
b)
1/6
c)
2/5
d)
1/3
9.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
10.
  Which of the following describes theoretical probability?
a)
a.  Perform an experiment to determine the probability
b)
a.      Determining the expected probability of an event
c)
a.  Perform a simulation and count the number of possible outcomes
d)
a.  Use trials to count the number of desired outcomes
11.
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
12.
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
13.
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
14.
On a 6-sided die, which is more likely?
a)
Rolling an odd number
b)
Rolling an even number
c)
They are both equally likely.
d)
Neither because 1 is not a prime number
15.
7+(-12)=
a)
5
b)
19
c)
-19
d)
-5
16.
(+14) - (+2) =
a)
+12
b)
-12
c)
+16
d)
-16
17.
(-58) - (-5) =
a)
+63
b)
-53
c)
+53
d)
-63
18.

Select ALL that have a positive solution

a)

3 × 5

b)

15 ÷ -5

c)

-10 × -5

d)

-4 × 6

e)

-30 ÷ -6

19.
Multiply. Write your answer in simplest form.
a)
27/40
b)
-27/40
c)
5/6
d)
-5/6
20.

The table shows the location of four treasure chests relative to sea level. Which treasure chest is farthest from sea level?

a)

Treasure Chest A

b)

Treasure Chest B

c)

Treasure Chest C

d)

Treasure Chest D

21.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
22.

What is the theoretical probability of the spinner landing on a 5?

a)
b)
c)
d)
23.

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

a)

3/10

b)

3/6

c)

1/9

d)

1/3

24.
Find the experimental probability:
Roll dice:  1, 3, 3, 4, 4
P(3) = 
a)
3/5
b)
1/6
c)
2/5
d)
1/3
25.

Neil tossed a 6-sided die 90 times. The results of his tosses are recorded in the table below: Which number has the experimental probability of 13/90?

a)

1

b)

2

c)

3

d)

4

e)

5

26.

Jason rolls a die 14 times. What is the Experimental probability that he will roll a 2 ?

a)

2/6

b)

3/6

c)

3/14

d)

1/6

27.
Ryan has 4 rap songs, 11 pop songs, 8 country songs, and 2 rock songs. What is the probability of Ryan picking a rock song or a pop song?
a)
2/25
b)
13/25
c)
11/25
d)
22/25
28.

A coin is tossed 18 times. It lands on heads 12 times. What is the experimental probability of the coin landing on tails? reduce the fraction!

a)
b)
c)
29.

The arrow is spun 15 times and landed 4 times on the section labeled Q. Which statement is true?

a)
b)
c)
d)
30.

The spinner was spun 30 times and landed on blue 12 times. What was the experimental probability of the spinner landing on colors that were not blue?

a)

12/30

b)

18/30

c)

141/5

d)

10/30

31.

What is the theoretical probability that an even number will be rolled on a number cube?

a)

1/3

b)

1/2

c)

2/3

d)

1/6

32.

What was the experimental probability of how many times an even number was actually rolled using the table?

a)

2/3

b)

5/7

c)

5/12

d)

1/2

33.

If you roll a number cube 36 times, how many times would you expect to roll the number one?

a)

1

b)

6

c)

8

d)

18

34.

How many times was the number one rolled in the experiment?

a)

1

b)

6

c)

8

d)

18

35.

What is the theoretical probability for rolling a number greater than 4?

a)

1/6

b)

1/3

c)

1/2

d)

2/3

36.

What was the experimental probability of rolling a number greater than 4?

a)

1/9

b)

1/6

c)

4/9

d)

5/18

37.

What is the difference between theoretical and experimental probability?

a)

Experimental Probability is what should happen while Theoretical Probability is what does happen.

b)

Theoretical Probability is what should happen while Experimental Probability is what does happen.

c)

There is no difference.

d)

One is a fraction and one is a decimal.

38.

If a car factory checks 360 cars and 8 of them have defects, how many out of 1260 will have defects?

a)

28

b)

45

c)

360

d)

2880

39.

If a car factory checks 320 cars and 12 of them have defects, how many out of 560 will NOT have defects?

a)

21

b)

45

c)

308

d)

539

40.

You plant 30 African violet seeds and 9 of them sprout. Use experimental probability to predict how many will sprout if you only plant 20 seeds?

a)

6

b)

11

c)

18

d)

21