Problem

A three-color spinner is claimed fair only because it has three color names. State the physical assumptions required for equal color probabilities and the evidence that should be checked.

Answer choices

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Treat having more than two colors as proof of bias; call the spinner unfair and recommend removing a color rather than checking areas.

Treat distinct sector labels as proof of equal probabilities; call the spinner fair and recommend checking labels rather than sector areas and spin bias.

Equal sector areas and an unbiased spin are required; color names alone do not establish equal probabilities, so sector areas should be checked.

Treat three color names as proof of probability 1/3 each; call the spinner fair and recommend no sector-area check.

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A three-color spinner is claimed fair only because it has three color names. State the physical assumptions required for equal color probabilities and the evidence that should be checked.

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