Name: 
 

Math 12F LG 13 Practice Unit Test #2


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
What is the meaning of complement in set theory?
A.
all the elements in the universal set that are not identical
B.
a set of elements that work well with a given set
C.
all the elements of a universal set that do not belong to a subset of it
D.
all the elements that are the opposite of the elements in a given set
 

 2. 
Consider the following Venn diagram of herbivores and carnivores:
mc002-1.jpg

Determine n(H Ç C).
A.
2
B.
9
C.
4
D.
3
 

 3. 
A summer camp offers canoeing, rock climbing, and archery. The following Venn diagram shows the types of activities the campers like.
mc003-1.jpg

Use the diagram to determine n((A \ C) \ R).
A.
8
B.
22
C.
6
D.
5
 

 4. 
A restaurant offers Chinese, Thai, and Korean food. The following Venn diagram shows the types of food the customers like.
mc004-1.jpg

Use the diagram to determine n(C) – n(T).
A.
5
B.
4
C.
10
D.
15
 

 5. 
Some table games use a board, dice, or cards, or a combination these. The following Venn diagram shows the number of games that use these tools.
mc005-1.jpg

Use the diagram to determine n(B \ D)¢.
A.
44
B.
33
C.
67
D.
71
 

 6. 
A restaurant offers 60 flavours of wings. How many ways can two people order two servings of wings, either the same flavour or different flavours?
A.
3481
B.
3540
C.
3600
D.
3660
 

 7. 
Identify the expression that is equivalent to the following:
mc007-1.jpg
A.
mc007-2.jpg
B.
mc007-3.jpg
C.
n2
D.
n!
 

 8. 
Evaluate.
mc008-1.jpg
A.
330
B.
660
C.
990
D.
1320
 

 9. 
Which of the following is equivalent to mc009-1.jpg?
A.
mc009-2.jpg
B.
mc009-3.jpg
C.
mc009-4.jpg
D.
mc009-5.jpg
 

 10. 
Given the following probabilities, which event is most likely to occur?
A.
P(A) = 0.2
B.
P(B) = mc010-1.jpg
C.
P(C) = 0.3
D.
P(D) = mc010-2.jpg
 

 11. 
Tia notices that yogurt is on sale at a local grocery store. The last eight times that yogurt was on sale, it was available only three times. Determine the odds against yogurt being available this time.
A.
3 : 5
B.
3 : 8
C.
5 : 8
D.
5 : 3
 

 12. 
Yvonne tosses three coins. She is calculating the probability that at least one coin will land as heads. Determine the number of options where at least one coin lands as heads.
A.
1
B.
3
C.
5
D.
7
 

 13. 
Yvonne tosses three coins. She is calculating the probability that at least one coin will land as heads. Determine the total number of outcomes.
A.
2
B.
4
C.
8
D.
16
 

 14. 
Two dice are rolled. Let A represent rolling a sum greater than 10. Let B represent rolling a sum that is a multiple of 2. Determine n(A Ç B).
A.
1
B.
3
C.
11
D.
18
 

 15. 
Rino has six loonies, four toonies, and two quarters in his pocket. He needs two loonies for a parking meter. He reaches into his pocket and pulls out two coins at random. Determine the probability that both coins are loonies.
A.
16.3%
B.
18.4%
C.
22.7%
D.
25.9%
 

Short Answer
 

 1. 
Show the biconditional statement below is true. If it is not true, give a counterexample.
“A three-dimensional shape is a cube if and only if it has sides all the same length.”
 

 2. 
Solve for r.
34Pr = 34
 

 3. 
Solve for r.
8Pr = 1680
 

Problem
 

 1. 
a) Indicate the multiples of 2 and 3, from 1 to 100, using set notation. List any subsets.
b) Represent the sets and subsets in a Venn diagram.
 

 2. 
a) Evaluate each of the following.
i) pr002-1.jpg
ii) pr002-2.jpg
iii) pr002-3.jpg
iv) pr002-4.jpg
b) What do you notice about the sums?
c) Use your answer to part a) to predict the value of the following:
pr002-5.jpg
 

 3. 
Homer hosts a morning radio show in Halifax. To advertise his show, he is holding a contest at a local mall. He spells out NOVA SCOTIA with letter tiles. Then he turns the tiles face down and mixes them up. He asks Marie to arrange the tiles in a row and turn them face up. If the row of tiles spells NOVA SCOTIA, Marie will win a new car. Determine the probability that Marie will win the car. Show your work.
 



 
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