benchmarks.wiki / Public workspace
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Omni-MATH / A fat coin is one which, when tossed, has a 2/5 probability of being heads, 2/5 of being tails, and 1/5 of landing on its edge. Mr. Fat starts at 0 on the real line. Every minute, …
Problem
Answer published by the source. Consult the official source to check your work against its answer.
problem
A fat coin is one which, when tossed, has a probability of being heads, of being tails, and of landing on its edge. Mr. Fat starts at 0 on the real line. Every minute, he tosses a fat coin. If it's heads, he moves left, decreasing his coordinate by 1; if it's tails, he moves right, increasing his coordinate by 1. If the coin lands on its edge, he moves back to 0. If Mr. Fat does this ad infinitum, what fraction of his time will he spend at 0?
Plain-text mathematical notation (without MathML)
A fat coin is one which, when tossed, has a 2/5 probability of being heads, 2/5 of being tails, and 1/5 of landing on its edge. Mr. Fat starts at 0 on the real line. Every minute, he tosses a fat coin. If it's heads, he moves left, decreasing his coordinate by 1; if it's tails, he moves right, increasing his coordinate by 1. If the coin lands on its edge, he moves back to 0. If Mr. Fat does this ad infinitum, what fraction of his time will he spend at 0?
Original LaTeX notation
A fat coin is one which, when tossed, has a $2 / 5$ probability of being heads, $2 / 5$ of being tails, and $1 / 5$ of landing on its edge. Mr. Fat starts at 0 on the real line. Every minute, he tosses a fat coin. If it's heads, he moves left, decreasing his coordinate by 1; if it's tails, he moves right, increasing his coordinate by 1. If the coin lands on its edge, he moves back to 0. If Mr. Fat does this ad infinitum, what fraction of his time will he spend at 0?
Discussion
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Source and history
- task_id
1da1161f-d169-5e82-88a9-22f913c6d1ac- task_key
test--1da1161f-d169-5e82-88a9-22f913c6d1ac- task_revision_id
- 1
- config / split
- / test
initial import