Deal or No Deal In Exercises 11 and 12, consider the TV

Chapter 12, Problem 12.1.128

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Deal or No Deal In Exercises 11 and 12, consider the TV show Deal or No Deal. (See the Mathematics Today on page 693.) In the game show, there are 26 numbered cases, each indicating a cash prize ranging from 1 cent to $1,000,000. Contestants on the show have a series of choices to make, and each time they can either accept the cash offer made by the banker or select a case from the remaining cases. Assume that one of the remaining cases contains a $1,000,000 cash prize. Determine the odds against and the odds in favor of selecting the case containing the $1,000,000 cash prize if there are  seven cases remaining.

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