62.Where the Heaviest Weight Sits
★★★classical probabilityIMC Trading
Six distinct weights labelled 101 through 106 are split at random, three on each side of a balance scale. What is the probability that the weight labelled 106 ends up on the heavier side?
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Fix 106 on one side. Its side wins unless the other two weights joining it are unusually light — enumerate which pairs fail.
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