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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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A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?
Age 16 to 18 Challenge Level:
Why do this problem?
A simple context lending itself to the use of a tree diagram.Key Questions
What is unknown?How can we record the information?
Can we form an equation from the information given?
Possible Support
Try How Many Balls? and Fixing The Odds
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.