Modeling #6 - Tennis Anyone?

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Presentation transcript:

Modeling #6 - Tennis Anyone? Begin with the end in mind Deterministic model Stochastic model

Modeling #6 - Tennis Anyone? Read the following problem statement: Pat and John have dominated the world tennis scene for a number of years. They are to be found at every major tennis tournament, locked in battle and competing for titles. As an avid tennis fan, you and your friends have followed nearly every match between them. Your best friend is an admirer of Pat - you think John has more style. However, even your friend concedes that John has an impressive service. You have been collecting all sorts of statistics on John and so you know how impressive it is. Your records show that John has served to Pat 230 times and won 154 of those points!

Modeling #6 - Tennis Anyone? Pat and John will be facing each other at Wimbledon next week. Your friend suggests that since you are so sure of John’s prowess, you should risk a wager. You craftily suggest that you will bet only on those games where John has the service. “Sure,” says your friend, “Each time John wins a game, I will give you $3, but each time Pat wins you will have to give me $10!” (It looks as though your friend has been collecting statistics, too.) Is this a bet you should take?

Modeling #6 - Tennis Anyone? First task Take 20 minutes to prepare a plan to solve this problem. First, make sure you understand the problem. Organize the information you have been given in a clear, unambiguous way. Define the objectives of the exercise. Document your results

Modeling #6 - Tennis Anyone? Second task Report initial results