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5928概率困难数值题long

Two Hiring Attempts

题目

Four candidates arrive in random order with only relative ranks observable. You are allowed to make TWO irrevocable picks during the stream (you point at a candidate, that candidate is chosen, then later you may point at one more); you win if AT LEAST ONE of your two chosen candidates is the overall best. Choices are made online with no recall. What is the optimal strategy and the probability of winning?

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