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Math 8 LG 15 Practice Quiz #3



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

 1. 

A coin is tossed and a regular 6-sided die labelled 1 to 6 is rolled.
What is the probability of tossing a head and rolling a 5?
a.
mc001-1.jpg
b.
mc001-2.jpg
c.
mc001-3.jpg
d.
mc001-4.jpg
 

 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. 

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
 

 4. 

Louie wants to buy either a striped shirt or a turtleneck. Both tops come in 8 colours.
Find the number of possible choices Louie has.
a.
10
b.
16
c.
17
d.
14
 

 5. 

A coin is tossed and a regular 6-sided die labelled 1 to 6 is rolled.
What is the probability of tossing tails and rolling a factor of 8?
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 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 a 1 on the red die, a 2 on the blue die, and a 4 on the green die?
a.
mc008-1.jpg
b.
mc008-2.jpg
c.
mc008-3.jpg
d.
mc008-4.jpg
 

 9. 

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.
mc009-1.jpg
b.
mc009-2.jpg
c.
mc009-3.jpg
d.
mc009-4.jpg
 

 10. 

Two sets of 6 cards are each numbered 1 to 6. One card is picked at random from each set.
What is the probability of picking 2 numbers with a sum of 4?
a.
mc010-1.jpg
b.
mc010-2.jpg
c.
mc010-3.jpg
d.
mc010-4.jpg
 

Short Answer
 

 11. 

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

 12. 

On Friday nights, a local diner serves 3 main entrees, each with a choice of vegetables.
Choices for entrees are beef, chicken, and fish.
Choices for vegetables are spinach, broccoli, and carrots.
How many possible dinners does the diner serve? List them.
 

 13. 

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

 14. 

A bag contains 5 red marbles, 3 blue marbles, and 4 yellow marbles.
A students removes 1 marble without looking, records the colour, then returns the marble to the bag.
The process is repeated. What is the probability of each outcome?
a)      2 red marbles
b)      not a red marble, then not a yellow marble
 

 15. 

A yellow die, a purple die, and a green die are rolled. Each is a regular 8-sided die labelled 1 to 8.
What is the probability of rolling a 4 on the yellow die, a 2 on the purple die, and a 7 on the green die?
 

 16. 

A gas station offers a lucky draw to customers.
Each time you spend more than $20 on gas, you can make a draw to win a prize.
The probability of winning a prize is sa016-1.jpg.
Suppose you buy gas 4 times. What is the probability of you winning a prize each time?
 

 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. 

Three coins are tossed. What is the probability of tossing a head and 2 tails?
Show your work.
 

 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 die is labelled 1 to 4. The die is rolled 8 times.
What is the probability of not rolling a 2?
 

 22. 

A bag contains 10 discs. Six of the discs are marked with a letter from a, b, c, d, e, and f and 4 of the discs are numbered 1, 2, 3, and 4. A disc is picked at random, the letter or number is recorded, and the disc is returned to the bag. This process is repeated 3 times.
What is the probability of each outcome?
a)      3 lettered discs
b)      3 numbered discs
c)      2 lettered discs and a numbered disc
Explain your work.
 



 
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