A poker hand consists of five cards from a deck of 52 ordinary cards. A player received

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A poker hand consists of five cards from a deck of 52 ordinary cards. A player received five cards and did not look at them. Suppose that among these five cards, one card is the ace of spades, but this is not known to the player. Let X be the number of cards in the player's hand that are turned over until we observe the ace of spades. Assuming that turning over each card was done randomly without replacement, what is the probability function of X?

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