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Knock-out

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?

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Squash

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?

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Snooker

A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?

Dicey Decisions

Stage: 5 Challenge Level: Challenge Level:1
It might help to look at a die (or make one) to refer to when you are working out the edge and corner totals.