benchmarks.wiki / Public workspace
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Omni-MATH / Jude repeatedly flips a coin. If he has already flipped n heads, the coin lands heads with probability (1)/(n+2) and tails with probability (n+1)/(n+2). If Jude continues flipping …
Problem
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problem
Jude repeatedly flips a coin. If he has already flipped heads, the coin lands heads with probability and tails with probability . If Jude continues flipping forever, let be the probability that he flips 3 heads in a row at some point. Compute .
Plain-text mathematical notation (without MathML)
Jude repeatedly flips a coin. If he has already flipped n heads, the coin lands heads with probability (1)/(n+2) and tails with probability (n+1)/(n+2). If Jude continues flipping forever, let p be the probability that he flips 3 heads in a row at some point. Compute ⌊180p⌋.
Original LaTeX notation
Jude repeatedly flips a coin. If he has already flipped $n$ heads, the coin lands heads with probability $\frac{1}{n+2}$ and tails with probability $\frac{n+1}{n+2}$. If Jude continues flipping forever, let $p$ be the probability that he flips 3 heads in a row at some point. Compute $\lfloor 180 p\rfloor$.Discussion
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Source and history
- task_id
d3bf073a-348e-5de5-a072-bd3b0c864808- task_key
test--d3bf073a-348e-5de5-a072-bd3b0c864808- task_revision_id
- 1
- config / split
- / test
initial import