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Basic Probability Review Game

Total questions: 45

Worksheet time: 45mins

Name
Class
Date
1.

How many outcomes are in the sample space for tossing one coin?

a)

1

b)

2

c)

4

d)

8

2.

Which of the following are possible samples spaces for tossing 2 coins? (May be more than one correct answer)

a)

{H, T, H, T}

b)

{HH, HT, TH, TT}

c)

{H, T}

d)

{T, H}

e)

{TT, HH, TH, HT}

3.

Which one is the sample space for flipping 3 coins?

a)

{H, T}

b)

{H1, H2, H3, T1, T2, T3}

c)

{HHH, TTT, HTH, THT, TTH, HHT}

d)

{HHH, TTT, HTH, THT, TTH, HHT, HTT, THH}

4.

An unprepared student takes a 3-question true/false quiz in which he guesses the answers to all 3 questions. What is the probability he gets all 3 correct?

a)

1/2

b)

1/3

c)

1/6

d)

1/8

5.

You give the answer to a probability problem as 6/5. The teacher marks it wrong. Why?

a)

It should have been 5/6.

b)

Its not written as a percent.

c)

Its more than 1.

d)

Its not written as a decimal.

6.

Which of these cannot be considered a probability of an outcome?

a)

1/3

b)

-1/5

c)

0.80

d)

112%

e)

1

7.

Roll a die one time. Find P(rolling a 4).

a)

1/4

b)

2/3

c)

1/6

d)

1/2

8.

Roll a die one time. Find P(even number).

a)

1/2

b)

1/3

c)

3/6

d)

2/6

9.

Roll a die one time. Find P(a number less than 7).

a)

0

b)

1

c)

7/6

d)

1/6

10.

Roll a die one time. Find P(a number greater than 3 or odd).

a)

0

b)

1/2

c)

5/6

d)

1/6

11.

Draw one card from a standard deck. Find P(ace)

a)

1/13

b)

1/4

c)

4/13

d)

1/52

12.

Draw one card from a standard deck. Find P(diamond)

a)

8%

b)

25%

c)

31%

d)

2%

13.

Rolling a pair of dice, find P(rolling doubles).

a)

1/2

b)

1/12

c)

1/6

d)

1/9

14.

Rolling a pair of dice, find P(sum > 9).

a)

1/2

b)

1/12

c)

1/6

d)

1/9

15.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
16.
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
17.
What is the probability of picking a red marble from the bag?
a)
4/10
b)
1/10
c)
3/10
18.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

19.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

20.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

21.

Identify the shaded area...

a)

A

b)

B

c)

A'

d)

B'

22.
A list of all possible outcomes
a)
sample space
b)
probability
c)
odds
d)
experimental probability
23.

An event with a probability of one

a)

Certain

b)

Theoretical Probability

c)

Mutually Exclusive

d)

Experimental Probability

24.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
25.
What is P(not sport)?
a)
24/50
b)
26/50
c)
3/50
d)
23/50
26.

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

a)

3/8

b)

3/4

c)

1/4

d)

5/8

27.

On this spinner, what is P(D or E)?

a)

1/8

b)

3/4

c)

1/4

d)

7/8

28.
What is
P(Foreign language ∩ Sport)?
a)
14/50
b)
47/50
c)
24/50
d)
14/47
29.

Determine P(Male)

a)

21/240

b)

156/240

c)

60/240

d)

180/240

30.

Determine the probability of a randomly selecting a person that drives a SUV.

a)

156/240

b)

84/240

c)

21/240

d)

135/240

31.

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine P(M|S).

a)

60/156

b)

21/156

c)

21/60

d)

21/240

32.

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine P(S|M).

a)

21/156

b)

21/240

c)

21/60

d)

60/156

33.

Let M represent the event of randomly selecting a male. Let S represent the event of randomly selecting a person that drives a SUV.

Determine if the events M and S are independent.

a)

Independent

b)

Not Independent

34.

Determine the probability of being a first class passenger and surviving the plane crash.

a)

500/1317

b)

201/324

c)

201/1317

d)

823/1317

35.

Are the events "first class passenger" and "survived" independent?

a)

Independent

b)

Not Independent

36.

Identify the shaded area...

a)

A∩B

b)

A∪B

c)

A'∩B'

d)

A'∪B'

37.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

38.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play football only?

a)

66/80

b)

4/80

c)

18/80

d)

49/80

39.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play all three sports?

a)

31/80

b)

45/80

c)

62/80

d)

67/80

40.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

41.

The diagram shows the sports played by 80 students.


If a student is picked at random, what is the probability that they play Hockey and Rugby but not Football?

a)

36/80

b)

5/80

c)

41/80

d)

44/80

42.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
43.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
44.

What does it mean for two events to be independent of each other?

a)

What happens in the second event depends on what happens in the first.

b)

The result of the first event has no effect on the result of the next event.

45.
Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?
a)
Yes
b)
No