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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.
Predict future weather using the probability that tomorrow is wet given today is wet and the probability that tomorrow is wet given that today is dry.
Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?
If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?