A simple model for a fair 'three-sided coin' is proposed and tested. Describing the coin as a cylinder with a given height and basis radius, this model efficiently characterizes the problem, constraining the size of the coin. A statistical analysis of the data collected from actual realizations of such coins has been performed, supporting the proposed model. Besides studying the case of a fair three-sided coin, this work represents a model for an explicit application of the scientific method, in which all parts (problem characterization, statement of a hypothesis, experiment, analysis, description, conclusions) have clearly directed its development. Thus, it represents an useful illustration of such method for undergraduate students.
Experimental test of fair three-sided coins
Pasquale Bosso
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2021-01-01
Abstract
A simple model for a fair 'three-sided coin' is proposed and tested. Describing the coin as a cylinder with a given height and basis radius, this model efficiently characterizes the problem, constraining the size of the coin. A statistical analysis of the data collected from actual realizations of such coins has been performed, supporting the proposed model. Besides studying the case of a fair three-sided coin, this work represents a model for an explicit application of the scientific method, in which all parts (problem characterization, statement of a hypothesis, experiment, analysis, description, conclusions) have clearly directed its development. Thus, it represents an useful illustration of such method for undergraduate students.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.