HMMT 2004 F10
- General 2
- Answer
A lattice point is a point whose coordinates are both integers. Suppose Johann walks in a line from the point to a random lattice point in the interior (not on the boundary) of the square with vertices . What is the probability that his path, including the endpoints, contains an even number of lattice points?
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{3}{4}
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