benchmarks.wiki / Public workspace
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Omni-MATH / A graph consists of 6 vertices. For each pair of vertices, a coin is flipped,…
Problem
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problem
A graph consists of 6 vertices. For each pair of vertices, a coin is flipped, and an edge connecting the two vertices is drawn if and only if the coin shows heads. Such a graph is good if, starting from any vertex connected to at least one other vertex, it is possible to draw a path starting and ending at that traverses each edge exactly once. What is the probability that the graph is good?
Plain-text mathematical notation (without MathML)
A graph consists of 6 vertices. For each pair of vertices, a coin is flipped, and an edge connecting the two vertices is drawn if and only if the coin shows heads. Such a graph is good if, starting from any vertex V connected to at least one other vertex, it is possible to draw a path starting and ending at V that traverses each edge exactly once. What is the probability that the graph is good?
Original LaTeX notation
A graph consists of 6 vertices. For each pair of vertices, a coin is flipped, and an edge connecting the two vertices is drawn if and only if the coin shows heads. Such a graph is good if, starting from any vertex $V$ connected to at least one other vertex, it is possible to draw a path starting and ending at $V$ that traverses each edge exactly once. What is the probability that the graph is good?
Discussion
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Source and history
- task_id
12f464b3-dd61-5f36-b125-a685ded1a643- task_key
test--12f464b3-dd61-5f36-b125-a685ded1a643- task_revision_id
- 1
- config / split
- / test
initial import