Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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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?
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2.
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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 |
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3.
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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 |
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4.
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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 |
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5.
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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.
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6.
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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?
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7.
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A regular tetrahedron labelled 1 to 4 is rolled 4 times.
What is the
probability of rolling a 3 each time?
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8.
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A three letter code is made using the letters a, b, c, d, e. Each letter
may be used more than once.
How many different codes are possible?
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9.
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A combination lock has 4 dials, each with the digits 2, 3, 4, and 5.
What is
the probability that someone could guess the correct combination on the first try by randomly
selecting a number from 2 to 5 four times?
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10.
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A spinner has 12 equal sectors. 4 sectors are coloured red, 3 are coloured blue,
and 5 are coloured yellow. The pointer on the spinner is spun 3 times.
What is the probability of
the pointer landing on red each time?
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Short Answer
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11.
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This tree diagram shows the choices of topping and size available at a pizza
parlor. How many possible combinations have pepper as a topping?   
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12.
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At a pizza parlor, choices for pizza topping are Garlic, Onion, and Sausage, and
choices for size are Mini and Giant. Draw a tree diagram that shows all possible one-topping
pizzas.
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13.
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Two regular 6-sided dice, each labelled 1 to 6, are rolled.
What is the
probability of rolling 2 numbers that are the same?
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14.
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A spinner is divided into 4 equal sectors of red, green, blue, and purple.
A
regular 6-sided die labelled 1 to 6 is rolled and the pointer of the spinner is spun.
What is the
probability of rolling an even number and the pointer landing on red?
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15.
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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?
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16.
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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.
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17.
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Jake has 3 coins. Two of the coins are regular but the third is a trick coin
with 2 heads.
The 3 coins are tossed. What is the probability of tossing all heads?
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18.
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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?
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Problem
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19.
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Suppose you spin the pointer of each spinner once. Make a table that shows all
possible outcomes.  
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20.
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a) You roll a
regular 6-sided die labelled 1 to 6 once and spin the pointer of a spinner with equal sectors
labelled 1 to 4 once. Make a table that shows all possible
outcomes.
b) Suppose you multiply the number you roll by the number
you spin. In how many ways can the product be less than 10? greater than 12?
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21.
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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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22.
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Victor has 20 songs on a CD. The songs are: 4 by group A, 6 by group B, 3 by
group C, and 7 by group D. He selects a setting that randomly chooses songs to play. Find the
probability of each event. a) The
first 3 songs played are by group A.
b) The first song played is by
group B, and the next 2 songs are by group D.
c) The first 3 songs
played are not by group A.
Show your work.
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