Name: 
 

Math 8 LG 15 Practice Quiz #5



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

 1. 

A clothing manufacturer offers 2 different styles of jeans, relaxed fit and regular fit, in 5 different colours. How many combinations of a style and a colour are possible?
a.
4
b.
8
c.
7
d.
10
 

 2. 

A lunch menu consists of 4 sandwiches and 5 drinks.
How many possible meals with a sandwich and a drink can you order?
a.
9 meals
b.
20 meals
c.
14 meals
d.
23 meals
 

 3. 

Ms. Wong is redecorating her office. She has choices of 6 colours of carpet and 4 styles of furniture.
How many possible ways can she choose a colour of carpet and a style of furniture?
a.
24 ways
b.
20 ways
c.
28 ways
d.
10 ways
 

 4. 

Janelle wants to buy a shirt. Her choices of material are polyester and cotton.
Shirts are available in yellow, orange, and blue.
Make a list that shows the possible choices Janelle has.
a.
Polyester, orange
Polyester, blue
Polyester, yellow
Cotton, orange
Cotton, blue
Cotton, yellow
c.
Polyester, orange
Polyester, blue
Polyester, yellow
Cotton, orange
Cotton, blue
b.
Polyester, orange
Polyester, blue
Polyester, yellow
d.
Polyester
Polyester
Polyester
Cotton
Cotton
Cotton
 

 5. 

This table shows the colours of the 4 scarves, 3 pairs of gloves, and 2 hats that Tamara has.
Tamara randomly picks a scarf, hat, and a pair of gloves.
What is the probability of Tamara choosing a pair of black gloves and a red scarf?
Scarf
Gloves
Hat
Red
Black
White
White
Brown
Red
Brown
Red
 
Black
  
a.
mc005-1.jpg
b.
mc005-2.jpg
c.
mc005-3.jpg
d.
mc005-4.jpg
 

 6. 

A coin is tossed 4 times. What is the probability of tossing 4 tails?
a.
mc006-1.jpg
b.
mc006-2.jpg
c.
mc006-3.jpg
d.
mc006-4.jpg
 

 7. 

A red die, a blue die, and a green die are rolled. Each is a regular 6-sided die labelled 1 to 6.
What is the probability of rolling an even number on each die?
a.
mc007-1.jpg
b.
mc007-2.jpg
c.
mc007-3.jpg
d.
mc007-4.jpg
 

 8. 

A regular tetrahedron labelled 1 to 4 is rolled 4 times.
What is the probability of rolling a 3 each time?
a.
mc008-1.jpg
b.
mc008-2.jpg
c.
mc008-3.jpg
d.
mc008-4.jpg
 

 9. 

Find the probability that 4 students chosen at random are all born on a Wednesday.
a.
mc009-1.jpg
b.
mc009-2.jpg
c.
mc009-3.jpg
d.
mc009-4.jpg
 

 10. 

A spinner has 8 equal sectors. 2 sectors are coloured red, 3 are coloured blue, and 3 are coloured yellow. The pointer on the spinner is spun 3 times.
What is the probability of the pointer not landing on red all 3 times?
a.
mc010-1.jpg
b.
mc010-2.jpg
c.
mc010-3.jpg
d.
mc010-4.jpg
 

Short Answer
 

 11. 

This tree diagram shows the choices of topping and size available at a pizza parlor.
How many possible combinations have pepper as a topping?
sa011-1.jpg
sa011-2.jpg
sa011-3.jpg
 

 12. 

Two coins are tossed. What is the probability of tossing 2 tails?
 

 13. 

Two regular 6-sided dice, each labelled 1 to 6, are rolled.
What is the probability of rolling 2 even numbers?
 

 14. 

An experiment consisted of rolling a regular 9-sided die labelled 1 to 9 and tossing a coin.
What is the probability of rolling a 7 and tossing a head?
 

 15. 

A set of 5 cards is numbered 1, 3, 5, 7, and 9. Another set of 5 cards is numbered 2, 4, 6, 8, and 10.
A card is picked at random from each set. What is the probability of each event?
a)      The sum of the 2 numbers is even.
b)      The sum of the 2 numbers is odd.
 

 16. 

A spinner is divided into 4 equal sectors coloured red, blue, yellow, and green.
A regular 6-sided die is labelled 1 to 6.
Ronald spins the pointer on the spinner, rolls the die, and tosses a coin.
What is the probability of the pointer landing on green, rolling an even number, and tossing a tail?
 

 17. 

A bag contains 8 red marbles and 2 blue marbles.
Leila draws a marble without looking, records the colour, then returns the marble to the bag.
This process is repeated 5 times. What is the probability that a blue marble is drawn each time?
 

 18. 

The probability of a new-born puppy being male or female is 0.5.
What is the probability that a litter of 4 puppies would contain 2 males and 2 females?
Use coin tosses to simulate the problem. Give your answer as a fraction and as a percent.
 

Problem
 

 19. 

You spin the pointers of 2 spinners, each of which is divided into 5 equal sectors labelled 1 to 5.
a)      List all possible outcomes.
b)      How many outcomes have a sum of the 2 numbers greater than or equal to 8?
 

 20. 

Three red cards are numbered 1 to 3.
Three blue cards are numbered 2 to 4.
Three green cards are numbered 3 to 5.
One card of each colour is picked at random and the numbers added. Find each probability.
a)      The sum is even.
b)      The sum is 10.
Show your work.
 

 21. 

A regular 4-sided red die is labelled 1 to 4, a regular 8-sided blue die is labelled 1 to 8, and a regular 12-sided green die is labelled 1 to 12. The 3 dice are rolled once.
What is the probability of each event?
a)      Rolling an even number on each die
b)      Rolling a sum of 22
Show your work.
 

 22. 

A drawer contains 2 red shirts and 4 blue shirts. A second drawer contains  3 pairs of grey pants and 2 pairs of blue pants. A third drawer contains 8 pairs of white socks and 7 pairs of blue socks.
You choose one item from each drawer without looking. What is the probability of each outcome?
a)      A blue shirt, blue pants, and blue socks
b)      A red shirt, blue pants, and white socks
c)      Nothing blue
Show your calculations.
 



 
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