benchmarks.wiki / Public workspace

Omni-MATH / Yannick is playing a game with 100 rounds, starting with 1 coin. During each…

Problem

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

problem

Yannick is playing a game with 100 rounds, starting with 1 coin. During each round, there is a n%n \% chance that he gains an extra coin, where nn is the number of coins he has at the beginning of the round. What is the expected number of coins he will have at the end of the game?
Plain-text mathematical notation (without MathML)
Yannick is playing a game with 100 rounds, starting with 1 coin. During each round, there is a n% chance that he gains an extra coin, where n is the number of coins he has at the beginning of the round. What is the expected number of coins he will have at the end of the game?
Original LaTeX notation
Yannick is playing a game with 100 rounds, starting with 1 coin. During each round, there is a $n \%$ chance that he gains an extra coin, where $n$ is the number of coins he has at the beginning of the round. What is the expected number of coins he will have at the end of the game?

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

Official source

initial import