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
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