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Probability Practice

Total questions: 61

Worksheet time: 3hrs 1mins

Name
Class
Date
1.
How many ways can you arrange 2 letters from the word
S Q U A R E?
a)
30
b)
140
c)
320
d)
45
2.
Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  
a)
5,100,480
b)
0
c)
42,504
d)
5.17 x 1021
3.
A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  
a)
3360
b)
560
c)
4080
d)
680
4.
Find the possibilities when a group of 15 people are going to run a race.  The top 5 finishers advance to the finals.
a)
1.3 x 1012
b)
120
c)
3003
d)
360,360
5.
Ten students in your math class are presenting unique proofs to their classmates.  The order in which the proofs are chosen to be presented is random.   Find the probability that the proof using the HL Theorem is chosen first and your proof on CPCTC Theorem is chosen to go second.  
a)
1/10
b)
1/10!
c)
4/5
d)
1/90
6.
Your history teacher randomly chooses 2 out of 18 students to give an impromptu debate on freedom of press in the high school news paper.  What is the probability that both you and your best friend are chosen to give the debate?  
a)
1/153
b)
1/306
c)
2/153
d)
40/51
7.
When does the order in which you are choose matter?
a)
Combination
b)
Permutation
8.
Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.
a)
Combination
b)
Permutation
9.
How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0?
a)
11,424,400
b)
10,967,424
c)
9000
d)
90,000
10.
Choosing 3 toppings for your sundae out of a list of 15.
a)
Permutation
b)
Combination
c)
Neither
11.
Ambry must submit 4 paintings as part of her
application to art school. If she has 25 to choose from, how many ways can she pick 4?
a)
12,650
b)
303,600
c)
100
d)
254
12.
Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?
a)
462
b)
55440
c)
55
d)
1000
13.
Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?
a)
1
b)
3628800
c)
100
d)
1814400
14.
The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?
a)
36
b)
2176782336
c)
60
d)
1402410240
15.
Justin took a quiz with five multiple choice (A-D) and five true/false questions. How many different ways can he answer the questions?
a)
1024
b)
32
c)
32768
d)
25
16.
Brianna’s school day consists of six classes. How many different ways can her schedule be arranged?
a)
720
b)
36
c)
100
d)
500
17.
If Lucas owns 11 hoodies,how many ways can he choose four to bring on vacation?
a)
44
b)
7920
c)
330
d)
121
18.

How many different arrangements can be made from COLLEGE?

a)

28

b)

720

c)

5040

d)

35280

19.

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.

What is the probability that the committee is made up of 3 women and 1 man?

a)

2/91

b)

1/20

c)

3/16

d)

36/91

20.

You are dealt 5 cards from a standard deck of playing cards. What is the probability you are dealt a flush?


**A flush is all 5 cards of the same suit (order does not matter).

a)

1/1287

b)

1/2598960

c)

1287/2598960

d)

5/52

21.
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 
a)
34
b)
2
c)
3
d)
93
22.
If you roll a die then flip a coin, how many possible outcomes?
a)
2
b)
6
c)
12
d)
64
23.
If you roll two dice, how many possible outcomes?
a)
360
b)
1
c)
36
d)
12
24.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
25.
A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
26.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
27.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
28.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
29.
How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?
a)
12
b)
7
c)
223
d)
64
30.
Find the total number of outcomes for picking a day of the week and a month of the year.
a)
19
b)
84
c)
60
d)
210
31.
At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
a)
180
b)
23
c)
12
d)
60
32.
At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?
a)
32
b)
192
c)
40,320
d)
51,200
33.

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

5 green

6 yellow

8 blue

7 brown

a)


825\frac{8}{25}

b)

413\frac{4}{13}

c)

827\frac{8}{27}

d)

13\frac{1}{3}

34.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

35.
What is the probability of spinning a number less than 5? 
a)
16 2/3%
b)
33 1/3 %
c)
66 2/3%
d)
83 1/3%
36.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
37.

A box has 3 limes, 5 grapes, and 2 oranges. Find P(NOT lime).

a)

310\frac{3}{10}

b)

12\frac{1}{2}

c)

710\frac{7}{10}

d)

15\frac{1}{5}

38.

A box has 6 red pens, 8 black pens, 2 blue pens, and 4 purple pens. Find P( NOT red or blue).

a)

35\frac{3}{5}

b)

25\frac{2}{5}

c)

310\frac{3}{10}

d)

710\frac{7}{10}

39.

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)

12\frac{1}{2}

b)

110\frac{1}{10}

c)

310\frac{3}{10}

d)

13\frac{1}{3}

40.

P(not A) =

a)

28\frac{2}{8}

b)

34\frac{3}{4}

c)

23\frac{2}{3}

d)

14\frac{1}{4}

41.

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

a)

511\frac{5}{11}

b)

56\frac{5}{6}

c)

13\frac{1}{3}

d)

12\frac{1}{2}

42.

The spinner shown is spun.

Find P(number less than 6).

a)

75%

b)

12.5%

c)

62.5%

d)

37.5%

43.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
44.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
45.
What is the probability of selecting an orange candy?
a)
0%
b)
25%
c)
50%
d)
100%
46.

What color are you MOST likely to land on?

a)

pink

b)

green

c)

yellow

d)

blue

47.

Jazlyn has 4 quarters, 10 dimes, and 3 nickels in her wallet. What is the likelihood of her choosing a penny?

a)

certain

b)

likely

c)

unlikely

d)

impossible

48.
What is the probability of the spinner landing on an odd number?
a)
4/8
b)
4/4
c)
1/4
d)
1/3
49.

What result is least likely?

a)

Blue

b)

Red

c)

Yellow

d)

Purple

50.
Which color marble is least likely to be pulled from the jar?
a)
Green 
b)
Red
c)
Blue
51.

An event with a probability of equally likely as unlikely would be...

a)

0

b)

1/2

c)

2/3

d)

1

52.

Match the following probabilities:

a)

0

1.

Certain

b)

1

2.

Unlikely

c)

12\frac{1}{2}  

3.

As Likely as Not

d)

between 0 and 12\frac{1}{2}  

4.

Likely

e)

between 12\frac{1}{2}  and 1

5.

Impossible

53.

The experimental probability that Jonah will catch a fly ball is equal to 7/8. About what percent of the time will Jonah catch a fly ball?

a)

55%

b)

66%

c)

77%

d)

88%

54.

A spinner has 8 equal regions. Each region is marked with one of the following numbers: 10, 20, 30, 40, 50, 60, 70, 80. What is the probability of an even number being spun on the first roll?

a)

1/8

b)

1/2

c)

1

d)

3/8

55.

A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?

a)

1/3

b)

1/6

c)

1/2

d)

2/3

56.

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

57.

What type of probability is a way of estimating the probability of an event happening based on repeated trials?

a)

Experimental Probabillity

b)

Theoretical Probability

58.

What type of probability is used to find the probability of an event when all outcomes are equally as likely. "What COULD happen"

a)

Experimental Probability

b)

Theoretical Probability

59.

The table shows the results of 50 rolls of a number cube. According to the data in the table, what was the experimental probability of rolling a 1?

a)
b)
c)
d)
60.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
61.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens