Mathematics, 23.04.2020 01:07, mprjug6

A random line segment of length D is chosen on a plane marked with an infinite checkerboard grid (i. e., a unit side length square grid). What length D maximizes the probability that the segment crosses exactly one line on the checkerboard grid, and what is this maximal probability?

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A random line segment of length D is chosen on a plane marked with an infinite checkerboard grid (i....