Geometric probability · Backyard · difficulty 4 of 5
Center or edge
A ball lands at a uniformly random point on a square lawn 10 feet on a side. What is the probability that it is closer to the center of the lawn than to the nearest edge of the lawn?
Answer with a probability. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.
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