Maximizing the Chances of a Color Match

نویسندگان

  • RAMIN NAIMI
  • ROBERTO CARLOS PELAYO
چکیده

A counterexample The situation described in our experiment can be represented by a graph, in which the vertices (dots) represent students and edges (lines) indicate adjacent students. For example, FIGURE 1 shows a class of six students (a, b, c, d, e, f ) seated in two rows of three each. We first give all six students the same list of two colors (which we’ll represent as numbers), say {1, 2}, and compute the probability that two adjacent students will pick the same color. After this, we will see that it is possible to improve upon this probability by giving the students different lists.

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تاریخ انتشار 2005