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Suppose you have a non-standard deck of cards. The deck has 25 cards: 5 Aces, 5 2's, 5 3's, 5 4's, and 5 5's. Suppose the deck is well-shuffled. You flip over the top three cards of the deck. What is the probability that at least two of these cards are of the same type? Thus, for example, any outcome in which at least two of the three cards are Aces belongs to this event, as does any outcome in which at least two of the three cards are 4's, etc.

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