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A pack contains m cards, labelled 1, 2, . . . ,m. The cards are dealt out in a random order, one by one. Given

A pack contains m cards, labelled 1, 2, . . . ,m. The cards are dealt out in a random order, one

by one. Given that the label of the kth card dealt is the largest of the first k cards dealt, what is the

probability that it is also the largest in the pack

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