Two numbers x and y are selected at random from the
Chapter , Problem 22(choose chapter or problem)
Two numbers x and y are selected at random from the interval (0, 1). For i = 0, 1, 2, determine the probability that the integer nearest to x + y is i. Note: This problem was given by Hilton and Pedersen in the paper A Role for Untraditional Geometry in the Curriculum, published in the December 1989 issue of Kolloquium Mathematik-Didaktik der Universitt Bayreuth. It is not hard to solve, but it has interesting consequences in arithmetic.
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