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mdm12Section6_2_OddSolutionsFinal

mdm12Section6_2_OddSolutionsFinal - Q1-3 Q11-15 Q5-11...

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Q1-3 Q5-11 Q11-15 CHAPTER 6 Section 6.2, pp. 318–319 Solutions to Odd Number Problems 1. a) Odds against good weather = 2:3 b) 3 (good weather) = 2 3 3 5 P + = 3. a) P (sum=12)= 1 36 . The odds in favour of rolling 12 with two dice are 1:35. b) 1 2 3 4 (sum 5) 36 10 36 5 18 P + + + = = = 5 (sum 5) 1 18 13 18 P > = = The odds in favour of sum 5 are 5:13. c) The prime number sums are {2, 3, 5, 7, 11}. 1 2 4 6 2 (sum is a prime) 36 15 36 5 12 P + + + + = = = 5 (sum is not a prime) 1 12 7 12 P = = The odds in favour of rolling a prime are 5:7. d) It is not possible to roll a sum of 1 with two dice. The odds in favour are 0. Top
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5. a) 6 (V-neck) 3 6 2 6 11 P = + + = The odds in favour of drawing a V-neck are 6:5. b) 3 (tank top) 3 6 2 3 11 P = + + = P (not tank top) = 8 11 The odds against a tank top are 8:3. 7. a) n (tagged deer) = 48 n (does) = 22 n (bucks) = 26 n (male crossed-hatched) = 7 P (captured deer being a cross-hatched buck) =
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