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We have a deck of 52 cards, and we decide to draw k cards uniformly at random with replacement. That is, we draw a card

We have a deck of 52 cards, and we decide to draw k cards uniformly at random with replacement. That is, we draw a card from the deck, observe its value, and then place it back in the deck before drawing a new card. What is the expected number of cards that we observe at least once?

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