HMMT 2004 C5
- Combinatorics
- Answer
A best-of-9 series is to be played between two teams; that is, the first team to win 5 games is the winner. The Mathletes have a chance of of winning any given game. What is the probability that exactly 7 games will need to be played to determine a winner?
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
\frac{20}{81}
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.