February 27, 2017 NAME: APPLIED 40S – CHAPTER 5 1. Which of the following values cannot describe the probability of an event? A. 100% B. 3/4 C. 0 D. 1.2 2. You have a stack of ten cards numbered 11 to 20. What is the probability that a randomly drawn card is an odd number or a multiple of three? A. 0.3 B. 0.5 C. 0.7 D. 0.8 3. The odds in favour of Philip winning a badminton match are 5 : 4. What is the probability that Philip will lose the match? A. 0.20 B. 0.44 C. 0.56 D. 0.80 4. Elaine has a bag containing 5 red pens and 10 blue pens. She randomly picks two pens out of the bag (no replacement). What is the probability that Elaine picked two red pens? A. 4/45 B. 2/21 C. 1/9 D. 1/3 5. Given the following collection of objects: a) Calculate the probability of randomly choosing (1 mark) b) How can the collection be changed so that the probability of choosing (1 mark) is exactly 40%? 6. Tim has a set of cards numbered 1 to 15. He randomly draws one card. Consider the following events: Event A: drawing a card that is a multiple of 2 Event B: drawing a card that is a multiple of 3 a) Are these events mutually exclusive? Justify your answer. (1 mark) b) What is the probability of drawing a numbered card that is a multiple of 2 or a multiple of 3? Show your work. (2 marks) 7. P A 0.6 and P B 0.5 . If P A B 0.2 , explain how you know that A and B are not independent events. (1) 8. You are asked to take a 3-question multiple-choice quiz. Each question has 4 possible answers, one of which is correct. a) If you randomly pick an answer for each question, what is the probability that all 3 answers are wrong? (1 mark) b) What is the probability of getting at least one of the questions correct? (1 mark) 9. a) The probability that you wins a game is 0.75. What are the odds against you winning the game? (1) b) You have some coins in your pocket. If the odds in favour of pulling out a quarter is 5:8, what is the probability of the coin being a quarter? (1) 10. When comparing two events, why is it easier to compare probabilities instead of odds? (1) 11. From the Applied math class (6 girls, 6 boys), a committee of 5 will be chosen. What is the probability that: a) 5 girls are on the committee? (2) b) at least one boy is on the committee? (2) 12. It is junior lunch. The probability that I can get a cheese stick from someone is 0.45. The probability that I can get a package of goldfish from someone is 0.6. a) What is the probability that I will get a cheese stick and a package of goldfish? (2) b) What is the probability that I will get a cheese stick or goldfish? (2) c) What is the probability that I will get a cheese stick, but not goldfish? (2) 13. When Mr. Durksen asks for food from students in the cafeteria, he asks juniors 80% of the time, and seniors 20% of the time. If he asks a junior, the probability that he gets food is 50%, while if he asks a senior, the probability that he gets food is 20%. a) use a graphic organizer to show all the possible outcomes for this situation (1) b) what is the probability that he gets food? (2) /28 BONUS: Mr. Durksen got some food. What is the probability that he asked a junior? (1) Extra Bonus (1): “If I smell coffee, then Mr. Durksen must be near.” Write the contrapositive.
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