benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Frank and Joe are playing ping pong. For each game, there is a 30% chance that Frank wins and a 70% chance Joe wins. During a match, they play games until someone wins a total of 2…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Frank and Joe are playing ping pong. For each game, there is a 30%30 \% chance that Frank wins and a 70%70 \% chance Joe wins. During a match, they play games until someone wins a total of 21 games. What is the expected value of number of games played per match?
Plain-text mathematical notation (without MathML)
Frank and Joe are playing ping pong. For each game, there is a 30% chance that Frank wins and a 70% chance Joe wins. During a match, they play games until someone wins a total of 21 games. What is the expected value of number of games played per match?
Original LaTeX notation
Frank and Joe are playing ping pong. For each game, there is a $30 \%$ chance that Frank wins and a $70 \%$ chance Joe wins. During a match, they play games until someone wins a total of 21 games. What is the expected value of number of games played per match?

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
7262c253-00fc-5c9f-8abb-5ba94e5155a7
task_key
test--7262c253-00fc-5c9f-8abb-5ba94e5155a7
task_revision_id
1
config / split
/ test

Official source

initial import