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Please show all work in order to receive thumbs up. You roll a pick a card from a standard deck. If you pick a heart,

Please show all work in order to receive thumbs up.

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You roll a pick a card from a standard deck. If you pick a heart, you win and stop playing; If you select another suit, you put the card that you selected back in the deck, shuffle and redraw. The shuffling process takes 15 seconds. What is the expected time until you win

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