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In a standard deck of 52 cards, what is the probability of drawing one card that is not a club and not a face card?

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You have 52 cards total.  If you take out the clubs, you then have 39 cards remaining.  Now of those 39, you need to remove all face cards from that subset.  That means you must remove the Jack, Queen, and King from the other three suits.  That's 9 cards, leaving you with 30.  Accordingly, the odds are: