Problem

For captain assignment, M1 gives every person probability \(1/10\) with a transparent mapping; M2 gives probabilities \(1/8\) or \(1/12\); M3 gives every person \(1/10\) with a transparent mapping. Apply equal individual chance and public countability, retaining any genuine tie.

Answer choices

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M1 and M3 give 1/10 each and are transparent; M2 gives 1/8 or 1/12, but choose M2 because teams are equally likely.

M1 and M3 meet both criteria; M2 is unfair, but choose M2 merely because there are ten people.

M1 and M3 both give every person probability 1/10 and are transparent, so they tie; M2 is unfair because members have probabilities 1/8 or 1/12.

M1 and M3 meet both criteria, but choose only M1 by incorrectly claiming a publicly countable ticket mapping is opaque.

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