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7. A recent ESPN article reported that the current odds that the Arizona Cardina

ID: 3127769 • Letter: 7

Question

7. A recent ESPN article reported that the current odds that the Arizona Cardinals will win the Super Bowl next year are 10:1. (a) Do you think these are the odds in favor of the Cardinals winning the Super Bowl or the odds against the Cardinals winning the Super Bowl? Briefly explain your reasoning. (b) Calculate the probability that the Arizona Cardinals will win the Super Bowl next year based on this information 8. In the middle of the 2007 season, a website stated that the probability of the Patriots winning the 2008 super bowl was two-thirds. What were the odds that the Patriots would win the Super Bowl? 9. You have been entered into a drawing where you are guaranteed to win one of 25 prizes. There are twelve coupons for a free movie, six $25 restaurant gift cards, six tickets for free admission to an amusement park, and one $1000 cash prize.

Explanation / Answer

a) odds in favor of the cardinals winning the super bowls.

b)probability p=Odds/(odds+1) =(10/10+1) =10/11 =0.909

8. odds=p/(1-p) =(2/3)/(1-(2/3)) =2

9. probabilityy of winning atleast one out of 25 prizes is =1/25

probability of winning freemovie coupons =12/25

probability of winnig restaurant gift cards =6/25

Probability of winning free admission to an amusement park =6/25

probability of winning cash prize =1/25

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