Question: Consider an array with distinct elements and for which all permutations of the elements are equally likely. Argue that for any constant 0 <

Consider an array with distinct elements and for which all permutations of the elements are equally likely. Argue that for any constant 0<\alpha <=1/2, the probability is approximately 12
\alpha that PARTITION produces a split at least as balanced as 1
\alpha to \alpha .

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