Math 7 - 7.6
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Jill wants to buy either a ball pen or an ink pen. Both pens come in 5 styles.
Find the number of possible choices.
A) 8
B) 7
C) 11
D) 10
2. Mel has 4 different sweaters and 3 different pairs of pants.
How many possible combinations of pants and sweaters can he wear?
A) 12
B) 3
7
C) 4
7
D) 7
3. A yogurt shop offers 4 flavours of frozen yogurt and 7 toppings.
How many choices are possible for a single flavour frozen yogurt with 1 topping?
A) 26
B) 11
C) 31
D) 28
4. A spinner is divided into 12 equal sectors, 5 in red and 7 in green.
The pointer of the spinner is spun once. What is the probability of it landing on red?
A) 5
7
B) 5
12
C) 7
12
D) 7
5
5. Use a tree diagram to find how many ways you can arrange the letters in STEM.
A) 24 ways
B) 25 ways
C) 23 ways
D) 10 ways
6. A coin is tossed and a die labelled 1 to 6 is rolled.
What is the probability of the event “a head on the coin and a 5 on the die?”
A)
B)
C)
D)
7. A coin is tossed and a die labelled 1 to 6 is rolled.
What is the probability of getting a tail on the coin and a number less than 6 on the die?
A) 5
6
B) 1
6
C) 7
12
D) 5
12
8. Grace wants to find the probability of having 2 boys and 1 girl in a family of 3 children.
She tosses 3 coins with a head representing a boy and a tail representing a girl.
What is the probability of having 2 boys and 1 girl?
A)
B)
C)
D)
9. A set of 3 red cards is numbered from 1 to 3. A set of green cards is numbered from 1 to 4.
The 2 sets of cards are shuffled and a card is drawn without looking.
What is the probability that the number on the card is even?
A) 6
7
B) 3
4
C)
D) 3
7
10. Two spinners are each divided into 4 equal sectors. Spinner P has 2 blue sectors and 2 red sectors. Spinner Q has 2
blue sectors, 1 red sector, and 1 green sector.
The pointers on both spinners are spun once. What is the probability of spinning a red on each spinner?
A)
B)
C)
D)
11. Two spinners are each divided into 4 equal sectors. Spinner P has 2 blue sectors and 2 red sectors. Spinner Q has 2
blue sectors, 1 red sector, and 1 green sector.
The pointers on both spinners are spun once. What is the probability of spinning a blue on each spinner?
A)
B)
C)
D)
12. Mr. Crooks has 2 plain shirts and 4 striped shirts. He also has 3 plain ties and 2 striped ties.
He picks a shirt and a tie without looking.
What is the probability of getting a striped shirt and a striped tie?
A) 1
5
B) 8
11
C) 6
11
D) 4
15
Short Answer
13. Two coins are tossed. What is the probability of getting 2 tails?
.
14. Two dice, each labelled 1 to 6, are rolled. What is the probability of getting 2 even numbers?
.
15. At a pizza parlor, choices for the topping are ham, pineapple, and pepperoni. The available sizes are small and
large.
a) Draw a tree diagram to list the possible 1-topping pizzas.
b)
Find the probability of choosing at random a large pineapple pizza.
16. A spinner is divided into 4 equal sectors of red, green, blue, and purple.
A die labelled 1 to 6 is rolled and the pointer of the spinner is spun.
What is the probability of the pointer landing on red and getting an even number on the die?
.
17. A spinner has 3 equal sectors coloured red, green, and blue.
Find the sample space for tossing a coin and spinning the pointer on this spinner.
.
18. The cafeteria offers 3 types of pie, apple, blueberry, and pumpkin.
A customer can choose to have a pie with or without ice cream.
The choices for ice cream are vanilla and chocolate.
a) Draw a tree diagram to show all possible combinations of pie with or without ice cream.
b)
What is the probability of choosing at random a pie with ice cream?
Problem
19. Three coins are tossed. What is the probability of getting a head and 2 tails?
Show your work.
.
Math 7 - 7.6
Answer Section
MULTIPLE CHOICE
1. ANS:
LOC:
KEY:
2. ANS:
LOC:
KEY:
3. ANS:
LOC:
KEY:
4. ANS:
LOC:
KEY:
5. ANS:
LOC:
KEY:
6. ANS:
LOC:
KEY:
7. ANS:
LOC:
KEY:
8. ANS:
LOC:
KEY:
9. ANS:
LOC:
KEY:
10. ANS:
LOC:
KEY:
11. ANS:
LOC:
KEY:
12. ANS:
LOC:
KEY:
D
PTS: 1
DIF: Easy
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
A
PTS: 1
DIF: Easy
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
D
PTS: 1
DIF: Easy
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
B
PTS: 1
DIF: Easy
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
A
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
A
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
D
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
B
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
D
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
B
PTS: 1
DIF: Difficult
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
B
PTS: 1
DIF: Difficult
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
D
PTS: 1
DIF: Difficult
REF: 7.6 Tree Diagrams
7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
Conceptual Understanding
SHORT ANSWER
13. ANS:
The probability is
.
PTS: 1
DIF: Easy
REF: 7.6 Tree Diagrams
LOC: 7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
KEY: Conceptual Understanding
14. ANS:
The probability is
.
PTS: 1
DIF: Easy
REF: 7.6 Tree Diagrams
LOC: 7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
KEY: Conceptual Understanding
15. ANS:
a)
ham
small
pineapple
pepperoni
ham
large
pineapple
pepperoni
b)
The probability is
.
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
LOC: 7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
KEY: Communication
16. ANS:
The probability is
.
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
LOC: 7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
KEY: Conceptual Understanding
17. ANS:
The sample space is: head/red, head/green, head/blue, tail/red, tail/green, tail/blue
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
LOC: 7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
KEY: Conceptual Understanding
18. ANS:
a)
without
apple
b)
vanilla
chocolate
blueberry
without
vanilla
chocolate
pumpkin
without
vanilla
chocolate
The probability is
.
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
LOC: 7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
KEY: Communication
PROBLEM
19. ANS:
Answers may vary. For example:
List all possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
There are 8 possible outcomes.
Three outcomes show 1 head and 2 tails.
The probability of getting a head and 2 tails is
.
PTS: 1
DIF: Moderate
REF: 7.6 Tree Diagrams
LOC: 7.SP5
TOP: Statistics and Probability (Chance and Uncertainty)
KEY: Procedural Knowledge | Communication