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Aaron, Ben and Celia are runing a race. Assume that all possible rankings at the finishing...

Aaron, Ben and Celia are runing a race. Assume that all possible rankings at the finishing line are equally likely. Ben always wears a green bib, Celia always wears an orange bib and Aaron wears a green bib with probability p and an orange bib with probability 1 − p, p ∈ (0, 1). If the winner of the race was in an orange bib and the second person to finish the race was in a green bib, compute now the probabilities of all possible rankings at the finishing line.

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