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Probability Review

Total questions: 44

Worksheet time: 3hrs 37mins

Name
Class
Date
1.

A regular 6-sided die is to be rolled one time. What is the probability that the number 5 is rolled?

a)

1/5

b)

5/6

c)

1/6

d)

6/5

2.

There are 3 red marbles, 4 blue marbles, 2 green marbles, and 6 clear marbles in a burlap bag. One marble is randomly pulled from the bag. What is the probability the marble was green?

a)

1/2

b)

1/7

c)

2/15

d)

2/17

3.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
4.

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen. Find each probability.


P (penny, then dime).

a)

1/8

b)

9/100

c)

6/65

d)

17/195

5.

What is the probability of spinning a 2 on the spinner?

a)

1/2

b)

1/3

c)

1/8

d)

1/4

6.

What is the probability the spinner stops on yellow?

a)

.075

b)

50%

c)

25%

d)

3/8

7.
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
8.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which is the complete set of possibilities of combinations?
a)
TW, CW, PW
b)
TW, TM, TW, CW, PW
c)
TW, TM, CW, CM, PW, PM
9.

Identify if the events are independent or dependent, then calculate the probability. Leave as a decimal.

a)

18\frac{1}{8}   

b)

  34\frac{3}{4}  

c)

17\frac{1}{7}  

d)

615\frac{6}{15}  

10.

Identify if the events are independent or dependent, then calculate the probability. Leave as a fraction.

a)

1249\frac{12}{49}
​

b)

5691\frac{56}{91}
​

c)

4849\frac{48}{49}

d)

4912\frac{49}{12}
​

11.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
12.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
13.
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.
14.

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

a)

3/10

b)

3/9

c)

1/9

d)

1/3

15.
What is P(A and B) if P(A) = 1/2 and P(B) = 2/7, where A and B are independent events?
a)
1/7
b)
1/12
c)
5/8
d)
1/2
16.
A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?
a)
9/182
b)
5/182
c)
2/91
d)
10/91
17.

What does it mean to "replace" something?

a)

to put it back

b)

to switch it out with something else

c)

to keep it

18.
You have a bag of 17 marbles.  Four are blue, 6 are green, 2 are red, and the others are yellow.  What is the probability of drawing a green marble, putting it aside, and then drawing another green marble?
a)
15/136
b)
30/289
c)
Other
19.

A quiz contains 5 true or false questions. If you forgot to study and do not know the answer to them and guess, what is the probability of getting them all right? HINT: What is the probability of getting a True or False question correct on a test

a)

1/60

b)

1/32

c)

1/6

d)

1/2

20.

Possible results of an event

a)

outcomes

b)

simple event

c)

compound event

d)

probability

21.

Probability can only be values between which two numbers?

a)

0 to 2

b)

0 to 10

c)

0 to 5

d)

0 to 1

22.

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)

2/14

23.

What is the experimental probability of the spinner landing on a section that is green or red ?

a)

5/10

b)

1/2

c)

2/5

d)

1/5

24.

Shannon has a bag of jelly beans.

5 Green

2 Red

3 Blue

What is the experimental probability of her selecting a red jelly bean?

a)

11/33

b)

2/10

c)

1/5

d)

23/30

25.

A survey found that 39% of the population owned dogs, 22% owned cats, and 8% of the population owned both a cat and a dog. Find the probability that a person owns a cat or a dog.

a)

0.08

b)

0.53

c)

0.61

d)

0.36

26.
What is the probability of the arrow stopping on an odd number or a number greater than 2?
a)
5/6
b)
1/36
c)
1/6
d)
Elephant
27.
A spinner has 8 equal sections numbered 1 to 8. What is the probability of the spinner stopping on a number that is a multiple of 3 or is greater than 5?
a)
1/7
b)
1/12
c)
5/8
d)
1/2
28.

What is P(A or B) if P(A) = 1/4 and P(B) = 1/2, where A and B are overlapping events and P(a and B) = 1/8?

a)

1/7

b)

1/12

c)

5/8

d)

1/2

29.
Review: Probability based on data or results is called...
a)
The Law of Large Numbers
b)
theoretical probability
c)
subjective probability
d)
experimental probability
30.
An impossible event has a probability of _____?
a)
1
b)
0
c)
1/2
d)
100
31.

Suppose one card is drawn at random from a standard deck. What is the probability that the card drawn is a club?

a)

1/4

b)

1/3

c)

4/1

d)

3/1

32.

Glass beads: in a jar there are:

16 orange beads

19 yellow beads

10 pink beads

5 blue beads

The player picks a bead at random. 

If the bead is pink the player wins $5.00. If it is blue the player wins $10.00. If it is orange the player pays $3.50. If it is yellow the player pays $2.50. Calculate the expected value for the host.

a)

The host loses 70 cents per game

b)

The host loses 7 cents per game

c)

The host wins 7 cents per game

d)

The host wins 70 cents per game

33.

A manufacturer is considering the manufacture of a new and better mousetrap. She estimates the probability that the new mousetrap is successful is 3/4 . If it is successful it would generate profits of $120,000. The development costs for the mousetrap are $98,000. What is the excpected gain or loss.

a)

Loss $65,500

b)

Gain $65,500

c)

Loss $74,000

d)

Gain $74,000

34.

There is a twelve sided die.

A one or a twelve wins $9.00

All other numbers less than or equal to nine lose $2.00

All other numbers greater than or equal to ten lose $1.00. What is the expected value for the host.

a)

$2.00

b)

-$1.00

c)

$0.00 this is a fair game.

d)

$1.50

35.
Permutation, combination, or neither?
The batting order for seven players on a 12 person team.
a)
combination
b)
permutation
c)
neither
36.
Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.
a)
combination
b)
permutation
c)
neither
37.
Which of the following is an example of combination?
a)
Form a passcode with 4 digits
b)
Students line up in a queue to assembly
c)
Choose 4 students in a class committee
d)
Choose the chairperson, secretary and treasurer in a club
38.
Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.
a)
combination
b)
permutation
c)
neither
39.
What is the value of 8!
a)
40320
b)
36
c)
362880
d)
5040
40.
Nate is on a 7-day vacation.  He plans to spend one day jet skiing and one day golfing.  How many ways can Nate schedule these 2 activities?
a)
13
b)
42
c)
14
41.

There are 15 racers running a race. There are medals for the first three racers to cross the finish line. How many ways are there to award medals to the first three racers?


Is this a Permutation or a Combination?

a)

Permutation - the order matters

b)

Combination - the order does not matter

42.

A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?


Is this a Permutation or a Combination?

a)

Permutation - the order matters

b)

Combination - the order does not matter

43.
There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?
a)
324
b)
4896
c)
816
d)
54
44.
There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?
a)
220
b)
36
c)
1320
d)
100

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