benchmarks.wiki / Public workspace
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Omni-MATH / Nine fair coins are flipped independently and placed in the cells of a 3 by 3…
Problem
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problem
Nine fair coins are flipped independently and placed in the cells of a 3 by 3 square grid. Let be the probability that no row has all its coins showing heads and no column has all its coins showing tails. If for relatively prime positive integers and , compute .
Plain-text mathematical notation (without MathML)
Nine fair coins are flipped independently and placed in the cells of a 3 by 3 square grid. Let p be the probability that no row has all its coins showing heads and no column has all its coins showing tails. If p=(a)/(b) for relatively prime positive integers a and b, compute 100a+b.
Original LaTeX notation
Nine fair coins are flipped independently and placed in the cells of a 3 by 3 square grid. Let $p$ be the probability that no row has all its coins showing heads and no column has all its coins showing tails. If $p=\frac{a}{b}$ for relatively prime positive integers $a$ and $b$, compute $100 a+b$.Discussion
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Source and history
- task_id
5bc235b6-73b1-52a0-893f-fde48eb47f77- task_key
test--5bc235b6-73b1-52a0-893f-fde48eb47f77- task_revision_id
- 1
- config / split
- / test
initial import