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What is the probability of drawing a spade from a standard deck of cards on a second draw given that a spade was drawn on the first draw or not replaced

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There are 52 cards in a deck, 13 of which are spades. If the first card drawn was a spade, and it is not replaced, then this leaves 51 cards, 12 of which are spades. Therefore the probability of the second draw being a spade is 12/51 = 4/17.
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