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Worksheets

RMC P & S 6

Total questions: 70

Worksheet time: 2hrs 29mins

Name
Class
Date
1.
How many total outfit options are represented?
a)
12
b)
22
c)
3
2.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
3.
Which of the following situations is represented by this tree diagram?
a)
3 shirt options, 6 pants options, and 12 shoe options
b)
3 shirt options, 2 pants options, and 2 shoe options
c)
2 shirt options, 3 pants options, and 1 shoe option
4.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel
5.

What is sample space?

a)

a process with an uncertain result

b)

a possible result of an action

c)

a list of all possible outcomes of an event

d)

a single outcome or group of outcomes

6.

What is the sample space?

a)

6 bears

b)

orange, green, red, white, yellow

c)

unlikely

d)

2 red bears

7.
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 shows the CORRECT Sample Space List of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
8.
Tree Diagram
a)
A written list of all possible outcomes
b)
A description of all possible outcomes
c)
A drawing with branches of all possible outcomes
9.

Max is ordering a salad for lunch. He can choose one of chicken, tofu, hard-boiled eggs, or turkey to have on the salad. He can also pick one vegetable topping. The vegetable choices are sprouts, tomatoes, or olives. How many different combinations can Max create?

a)

7 combinations

b)

12 combinations

c)

3 combinations

d)

4 combinations

10.
a)
Answer Choice A
b)
Answer Choice B
c)
Answer Choice C
d)
Answer Choice D
11.

Classify the following statement as an example of theoretical, experimental, or subjective probability.


Jane tosses a coin 50 times and gets heads 28 times.

a)

Theoretical

b)

Experimental

c)

Subjective

12.

Classify the following statement as an example of theoretical, experimental, or subjective probability.


After watching the students in the hallway between classes your Math teacher states that about 15% of the students are in violation of the dress code.

a)

Theoretical

b)

Experimental

c)

Subjective

13.

Classify the following statement as an example of theoretical, experimental, or subjective probability.


Sally needs to roll a four to win the game of Candy Land and has a 1/12 chance of winning on the next roll.

a)

Theoretical

b)

Experimental

c)

Subjective

14.

Classify the following statement as an example of theoretical, experimental, or subjective probability.


Maria chooses a chip out of a box of red and blue chips 25 times and replaces the chip each time after drawing one. She draws a red chip 6 times.

a)

Theoretical

b)

Experimental

c)

Subjective

15.

Classify the following statement as an example of theoretical, experimental, or subjective probability.


The probability of drawing a King out of a standard deck of playing cards is 1 out of 13.

a)

Theoretical

b)

Experimental

c)

Subjective

16.

Classify the following statement as an example of theoretical, experimental, or subjective probability.


After grading the first chapter test the teacher stated that if grades did not get better about 1 out of every 4 students would not pass the class.

a)

Theoretical

b)

Experimental

c)

Subjective

17.

What describes theoretical probability?

a)

Probability that can be calculated using theory, like flipping a coin, drawing a card, or rolling a die.

b)

Probability that can be calculated once an experiment has been done that has provided resulting data.

c)

Probability that can be calculated using someone's educated guess based on previous observations or future estimations.

18.

What describes experimental probability?

a)

Probability that can be calculated using theory, like flipping a coin, drawing a card, or rolling a die.

b)

Probability that can be calculated once an experiment has been done that has provided resulting data.

c)

Probability that can be calculated using someone's educated guess based on previous observations or future estimations.

19.

What describes subjective probability?

a)

Probability that can be calculated using theory, like flipping a coin, drawing a card, or rolling a die.

b)

Probability that can be calculated once an experiment has been done that has provided resulting data.

c)

Probability that can be calculated using someone's educated guess based on previous observations or future estimations.

20.

If you flip a coin, what is the probability that it will land on heads?

a)

1/4

b)

1/8

c)

1/2

d)

1/3

21.

If you roll a 6-sided die, what is the probability of rolling a two?

a)

2/6

b)

1/6

c)

1/3

d)

1/5

22.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
23.

Theoretical Probability is

a)

What Should happen

b)

What does happen

c)

What Will Happen

d)

What I want to Happen

24.
Which of the following describes experimental probability?
a)
Perform a situation and count the number of possibilities
b)
Use trials to count the number of desired outcomes
c)
Perform an experiment to determine the probability of an event
d)
Use a formula to determine the expected probability of an event
25.
Which of the following describes theoretical probability?
a)
Perform a situation and count the number of possibilities
b)
Use trials to count the number of desired outcomes
c)
Perform an experiment to determine the probability of an event
d)
Use a formula to determine the expected probability of an event
26.

What is a complement (in math)?

a)

Saying something nice

b)

the rest of the whole/opposite

c)

something that makes perfect

d)

the likelihood of something happening

27.

What is the complement of tails on a coin? (opposite)

a)

heads

b)

tails

c)

quarter

d)

coin

28.

What is the complement of  25\frac{2}{5}  ?

a)

1/5

b)

2/5

c)

3/5

d)

5/5

29.

What is the complement of  46\frac{4}{6}  ?

a)

2/6 = 1/3

b)

4/6 = 2/3

c)

6/6 = 3/3 = 1

d)

1/6

30.

The probability of rain today is 90%. What is the complement (the probability it will not rain today)?

a)

60%

b)

45%

c)

90%

d)

10%

31.

A given probability plus its complement will always equal ___.

a)

2 or 200 %

b)

1 or 100 %

c)

0 or 0%

d)

15 or 150%

32.

What is the probability of not spinning green?

a)

0

b)

1/4

c)

1/2

d)

3/4

33.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4
34.

What is the complement of it snowing 3 days out of the week?

a)

P' = 4/7

b)

P' = 2/7

c)

P' = 5/7

d)

P' = 3/7

35.
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
36.
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
37.
The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?
a)
7 because 2 + 3 + 2
b)
12 because 2 x 3 x 2
38.

Jesse, Roger, Lee, Michael, Carl and Usain are running in a race. How many different orders of finish are possible?

a)

36

b)

64

c)

720

d)

46656

39.
If you draw a random card from a standard deck of cards, how many possible outcomes?
a)
13
b)
26
c)
52
d)
54
40.
Find the total number of outcomes when choosing between vanilla, strawberry, chocolate or mint chocolate chip ice cream with fudge, butterscotch, strawberry or whipped topping, in a cone or a cup.
a)
16
b)
8
c)
32
d)
3
41.
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
a)
12
b)
60
c)
15
42.
How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?
a)
672
b)
40
c)
6720
43.
An internet code consists of one digit followed by one letter,  The number zero and letter O are excluded.  How many codes are possible?
a)
35
b)
260
c)
225
44.
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
45.
How many ways can you listen to 3 songs from a CD that has 12 selections?
a)
1320
b)
33
c)
36
46.
Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?
a)
18
b)
120
c)
36
47.
How many ways can you choose a manager and assistant from a 9-person task force?
a)
81
b)
18
c)
72
48.
How many identification code are possible by using 3 letters if no letter may be repeated?
a)
15, 600
b)
75
c)
78
49.
There are 5 airplanes ready to depart.  Runway A and runway D are available.  How many ways can 2 planes be assigned to runways without using the same runway?
a)
7
b)
20
c)
25
50.
James purchased 3 shirts, 3 jackets and 2 pairs of pants.  How many different outfits using a shirt, a jacket and pants are possible?
a)
8
b)
18
c)
54
51.
In how many ways can 3 different vases be arranged on a tray?
 
a)
3
b)
9
c)
6
d)
12
52.
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
53.
Picking a team of three people out of a group of 10.
a)
Permutation
b)
Combination
c)
Neither
54.
Permutation, combination, or neither?
The batting order for seven players on a 12 person team.
a)
combination
b)
permutation
c)
neither
55.
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
56.
How many ways can 8 cheerleaders be chosen for 3 positions on the cheer team?
a)
24
b)
56
c)
128
d)
336
57.

A flea market vendor sells new & used books for adults & teens. Today, she has fantasy novels & poetry collections to choose from. Determine the number of categories for the books being sold.

a)

16

b)

8

c)

4

d)

2

58.

At a restaurant, there are 10 beverages, 5 salad choices, 6 main courses, and 3 desserts. How many possible meals can be made?

a)

90

b)

180

c)

300

d)

900

59.

How many different 4 letter arrangements can be formed from the letters in the word "DECAGON"?

a)

210

b)

840

c)

5,040

d)

823,543

60.

List of every possible outcome

a)

chance experiment

b)

probability model

c)

simulation

d)

sample space

61.

Probability can be used to predict , for example, the outcome when throwing a die or tossing a coin.

a)

True

b)

False

62.

On this spinner, what is P(A)?

a)

3/8

b)

4/8

c)

2/8

d)

5/8

63.

On this spinner, what is P(not A)?

a)

3/8

b)

4/8

c)

2/8

d)

5/8

64.

On this spinner, what is P(B)?

a)

3/8

b)

1/2

c)

1/4

d)

5/8

65.

If a counter is selected at random from this bag, what is P(yellow)?

a)

2/3

b)

2/5

c)

3/5

d)

1/5

66.

What probability is the same as impossible?

a)

0

b)

1/2

c)

1

d)

0.1

67.

What probability is the same as certain?

a)

0

b)

1/2

c)

1

d)

0.1

68.

The chance of landing on green is

a)

3/6

b)

2/8

c)

3/8

d)

1/6

69.

What is sample space?

a)

All of the Possible Outcomes

b)

What Will Happen

c)

What Can Happen

d)

What I want to Happen

70.
Which shows the sample space for flipping two coins?
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
Dime, Nickel