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Omni-MATH / A best-of-9 series is to be played between two teams; that is, the first team to…
Problem
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problem
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?
Plain-text mathematical notation (without MathML)
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 2/3 of winning any given game. What is the probability that exactly 7 games will need to be played to determine a winner?
Original LaTeX notation
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 $2 / 3$ of winning any given game. What is the probability that exactly 7 games will need to be played to determine a winner?
Discussion
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Source and history
- task_id
26409d45-aef6-5ecf-a291-caff95d75bd1- task_key
test--26409d45-aef6-5ecf-a291-caff95d75bd1- task_revision_id
- 1
- config / split
- / test
initial import