Two cards are drawn successively from an ordinary deck of 52 well-shuffled cards. Find the probability that (a) the first card is not a 10 of clubs or an ace, (b) the first card is an ace but the second is not, (c) at least one card is a diamond, (d) the cards are not of the same suit, (e) not more than one card is a picture card (jack, queen, king), (f ) the second card is not a picture card, (g) the second card is not a picture card given that the first was a picture card, and (h) the cards are picture cards or spades or both.
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