Five pins are randomly nailed to a square board (according to a uniform probability distribution), and a rubber band is stretched completely around them to form a convex shape.
What is the probability that the rubber band is in the shape of a quadrilateral?
(In reply to
No Subject by Charlie)
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seems to indicate that, for a field that's a parallelogram, that the respective probabilities of a triangular, quadrilateral, or pentagonal hull (rubber band shape) are respectively 5/48, 5/9 and 49/144, in statistical agreement with the simulation results, including verifying the 5/9 answer to this puzzle.
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Posted by Charlie
on 2023-09-27 20:43:17 |
re: No Subject
