3. If you were to toss three coins, what are the odds against them all landing heads up? a. 1:8 b. 8:1 c. 7:8 d. 7:1
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1 1/ 5 Name: Answers Score: 0 / 8 (0%) [10 subjective questions not graded] Worksheet: Odds Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. If the odds in favour of snow tomorrow are 4:7, what is the probability of snow tomorrow? C 2. If the odds of the Maple Leafs winning the Stanley Cup are 7:11, what is probability that they will win the Stanley Cup? a. 63.6% b. 36.4% c. 22.2% d. 38.9% D 3. If you were to toss three coins, what are the odds against them all landing heads up? a. 1:8 b. 8:1 c. 7:8 d. 7:1 D 4. If the odds in favour of event A are 2:3, what is the value of P(A )? A 5. What are the odds in favour of randomly selecting a black face card from a standard deck of cards? a. 3:13 b. 3:26 c. 3:10 d. 3:23
2 2/ 5 D 6. The odds in favour of a runner winning a race in dry weather are 5 to 3. The same runner s odds in favour of winning on a humid day are 7 to 4. Which of the following statements is false? a. The runner has a 62.5% chance of winning in dry weather. b. The runner has a better chance of winning in humid weather. c. The runner has a better chance of winning in dry weather. d. The runner has a 36.4% chance of losing in humid weather. C 7. What are the odds against randomly picking a green apple from a fruit bowl containing seven green apples and four red ones? a. 7:4 b. 4:11 c. 7:11 d. 4:7 D 8. What is the probability of randomly selecting a blue sock from an unorganized sock drawer if the odds in favour of not picking a blue sock are 3 to 7? D Short Answer 9. What are the odds in favour of July 1st being a Tuesday? 1:6 10. The probability of Jim hitting the bull s-eye on a dart board is What are the odds in favour
3 3/ 5 of Jim not hitting the bull s-eye? 24:1 11. If the odds against the Blue Jays winning this year s World Series are 20:1, what is the probability that the Blue Jays will win this series? or about What are the odds in favour of a total greater than 9 in a given roll of two standard dice? 1:5 13. If the odds are 9:1 against the next car you see being red, what proportion of cars in your area are red? 10% Problem 14. Describe how to calculate the odds against an event happening when you know the probability of the event occurring. Use a numerical example to illustrate your explanation.
4 4/ 5 Answers may vary. Students should make the key point that the odds against the event happening are given by the ratio. For example, if the probability of the event occurring is, then the probability of it not happening is, and the odds against the event are, or 1:2. Communication 15. The Royals coach stated that the odds in favour of us winning the next game are 5:7, the odds of tying the next game are 1:3, and the odds of losing the next game are 2:3. Can the coach s predictions be correct? Justify your answer. The coach is incorrect. If the odds are 5:7 in favour of winning, then. If the odds are 1:3 in favour of tying, then. If the odds are 2:3 in favour of losing, then. These three probabilities add to, which is impossible, since probabilities of all possible outcomes is always 1. Communication, Thinking/Inquiry/Problem Solving 16. Explain how you would calculate the tomorrow s probability of precipitation if the odds against precipitation tomorrow are 4:1.
5 5/ 5 If the odds against having rain are 4:1, then the probability of not having rain is. Therefore, the probability of precipitation must be, or 20%., Communication 17. Explain why odds of 4 to 5 in favour of an event occurring have a different meaning than the same event having a probability of. The odds of 4 to 5 mean that the event has a probability of. Thus, odds of 4 to 5 are quite different from a probability of. Communication 18. If you were to toss four coins, what are the odds in favour of at least two landing heads up? P(tossing at least two heads) 1 - P(no heads) - P(one head) Therefore, the odds in favour of tossing at least two heads are 11:5.
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