Nov 24, 2012 · From a single deck of cards, you select a card, look at it, put it back in the deck, and shuffle. If you do this 10 times, what is the probability of drawing exactly (1) one ace, (b) two aces, (c) three aces, (d) four aces (each of these is calculated separately)? 6 cards. 10 cards. 12 cards. 14 cards. 3. Is there a pattern? 4. How many out-shuffles are needed to return to the original order for a standard deck of 52 cards? How many in-shuffles. Comment: The analysis might be made easier by following the 'movement' of one card through the deck. For example on the out-shuffle for 8 cards, given above, the ...

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