Question: (3) Let U be the uniform distribution on S. a Compute P U where P is uniform over all permutations satisfying 1': 1 = 1.

(3) Let U be the uniform distribution on S\". a Compute P U where P is uniform over all permutations satisfying 1': 1 = 1. TV (In terms of cards, P corresponds to \"card 1 is on top an the rest are random.") (b) Compute llQ- Ull'rv where Q is uniform over (1,2,...,n),(2,...,n,l],...,(n,1,...,n 1). (Under Q, any particular card is equally likely to be in each pontion.)

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