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Any Win for Tennis?

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Consider the difference between games which hit 3 points each and those which don't.


Note that some sequences of games occur with the same probability as others (e.g. LWWWW and WLWWW).


For the numerical parts, you will need to decide the accuracy to which you wish to compute the answers. You might like to verify numerically any answer that you make to the first part of the question.