I have 2 10-sided die and I roll them both. If the sum of the die...

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Ihave 2 10-sided die and I roll them both. If the sum of the die isgreater than a target value (not less than or equal to) you makethe difference in dollars. The target value is 14. Using all themoney I make from this game, I also buy a race track. I bought 25of the nicest horses. I have a 5 lane race track as well. Let A bethe amount of money (in cents) you should pay to play the firstgame described, and let Z be the number of races necessary todetermine the 3 fastest horses out of my fleet of 25 horses. Whatis A*Z?

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SolutionConsider the First game Dice GameAssuming payoff is zero when sum of the die is less that orequal to 14When sum of the die is greater than 14 Payoff Numberon dice 1 Number on Dice 2 14We get the following payoff matrix for different combinationsof    See Answer
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