Question 1179902
there are 4 10s and 13 diamonds.  That is 17 cards, but the 10 of diamonds is counted twice, so the number of possibilities is 16 with 52 cards. That probability is 16/52 or 4/13.
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probability of a face card is 12/52, 3 face cards from each of 4 suits. There are four aces, and the sum of those numerators is 16, so the probability is 16/52 or 4/13. There is no duplication since both groups are mutually exclusive.