benchmarks.wiki / Public workspace
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Omni-MATH / A particular coin has a (1)/(3) chance of landing on heads (H), (1)/(3) chance of landing on tails (T), and (1)/(3) chance of landing vertically in the middle (M). When continuousl…
Problem
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problem
A particular coin has a chance of landing on heads (H), chance of landing on tails (T), and chance of landing vertically in the middle (M). When continuously flipping this coin, what is the probability of observing the continuous sequence HMMT before HMT?
Plain-text mathematical notation (without MathML)
A particular coin has a (1)/(3) chance of landing on heads (H), (1)/(3) chance of landing on tails (T), and (1)/(3) chance of landing vertically in the middle (M). When continuously flipping this coin, what is the probability of observing the continuous sequence HMMT before HMT?
Original LaTeX notation
A particular coin has a $\frac{1}{3}$ chance of landing on heads (H), $\frac{1}{3}$ chance of landing on tails (T), and $\frac{1}{3}$ chance of landing vertically in the middle (M). When continuously flipping this coin, what is the probability of observing the continuous sequence HMMT before HMT?Discussion
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Source and history
- task_id
9e5962a2-381e-5dfd-84d4-cc77111e7a7b- task_key
test--9e5962a2-381e-5dfd-84d4-cc77111e7a7b- task_revision_id
- 1
- config / split
- / test
initial import