A unit square P has two random points selected on its sides. Find the probability that the two points are at least 1/2 apart.
Hint: Do casework. What percentage of the time do the points end up on the same side? What is the probability then?
Hint 2: You can't use normal Probability formulas here because of infinity. But there is one useful tool that can handle infinity very easily: geometry.
Level: 4
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