Linear Flooring

The floor function [a] denotes the greatest integer less than or equal to a.  For x and y strictly between 0 and 1, the probability of [2x]+[2y] being 1 is 1/2.

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Number Line Mirrors

Starting with some points on a number line, if we put a mirror somewhere on the number line, it will reflect all existing points in itself so that the resulting set of points are symmetrical around it.

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