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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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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3.
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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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4.
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Jill wants to buy either a ball pen or an ink pen. Both pens come in 7 styles.
Find the number of possible choices Jill has.
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5.
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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?
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6.
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A coin is tossed 4 times. What is the probability of tossing 4
tails?
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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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Find the probability that 4 students chosen at random are all born on a
Wednesday.
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9.
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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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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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Two coins are tossed. What is the probability of tossing 2 tails?
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13.
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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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14.
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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?
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15.
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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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16.
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Pedro, Elaine, and Hessna each has a standard deck of playing cards.
They
each picks a card at random from his/her own deck.
What is the probability of Pedro picking a
club, Elaine picking a red card, and Hessna picking an ace?
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17.
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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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18.
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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.
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Problem
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19.
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Three coins are tossed. What is the probability of tossing a head and 2
tails?
Show your work.
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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 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.
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22.
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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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