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Microcomputer-assisted discoveries: Probability Machine

Clark Kimberling

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Abstract

The classical probability machine is a vertical board of obstacles through which balls fall. Each time a ball meets an obstacle, the probability that it will continue its fall on the right side of the obstacle is 1/2, and likewise for the left side. The balls fall to the bottom of the board, where they form a very interesting curve. An excellent photograph of a probability machine appears in chapter 10 of the Thirty-fourth Yearbook of the NCTM.

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What this paper is about

The classical probability machine is a vertical board of obstacles through which balls fall. Each time a ball meets an obstacle, the probability that it will continue its fall on the right side of the obstacle is 1/2, and likewise for the left side. The balls fall to the bottom of the board, where they form a very interesting curve. An excellent photograph of a probability machine appears in chapter 10 of the Thirty-fourth Yearbook of the NCTM.

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Available abstract

The classical probability machine is a vertical board of obstacles through which balls fall. Each time a ball meets an obstacle, the probability that it will continue its fall on the right side of the obstacle is 1/2, and likewise for the left side. The balls fall to the bottom of the board, where they form a very interesting curve. An excellent photograph of a probability machine appears in chapter 10 of the Thirty-fourth Yearbook of the NCTM.

Key concepts: Obstacle, Ball (mathematics), Microcomputer, Computer science, Computer graphics (images), Mathematics, Geometry, History

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