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?
You'll need to work out, for each round, the probability that Arsenal
play Chelsea and also the probability that they do not play against each
other but both survive to play in the following round. A tree diagram is
useful in thinking through this problem.