Take a standard deck of 52 well-shuffled cards. Flip them over one at a time, counting Ace through King. Whenever the value you say matches the card that is revealed, put that card into the discard pile.

For example, if the first five cards I flip over are 7, 2, 10, 4, J, then I would discard both the 2 and the 4.

If you only go through the deck once (counting Ace through King four times), what is the expected number of cards in the discard pile? That is, if you repeat this experiment an infinite number of times, what is the average number of cards discarded each trial?

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Take a standard deck of 52 well-shuffled cards. Flip them over one at a time, counting Ace through King. Whenever the value you say matches the card that is revealed, put that card into the discard pile.

For example, if the first five cards I flip over are 7, 2, 10, 4, J, then I would discard both the 2 and the 4.

If you only go through the deck once (counting Ace through King four times), what is the expected number of cards in the discard pile? That is, if you repeat this experiment an infinite number of times, what is the average number of cards discarded each trial?

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