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12. Suppose you shuffle a standard deck of 52 cards until it's well-shuffled. What is the probability that that sequence of cards has appeared before?

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12. Suppose you shuffle a standard deck of 52 cards until it's well-shuffled. What is the probability that that sequence of cards has appeared before? Let's get an upper bound on the probability. The standard deck has been around for less than 600 years. The current population of the world is less than 8 billion people. So let's assume that 8 billion people have been shuffling a deck of cards every minute. Let's assume that every one of those shuffles yielded a unique sequence. What is an upper bound on the probability that the deck you have shuffled has appeared before

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