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Suppose we are dealt five cards from an ordinary 52-card deck. What is the probability that (a)…

Suppose we are dealt five cards from an ordinary 52-card deck. What is the probability that (a) we get all four aces, plus the king of spades? (b) all five cards are spades? (c) we get no pairs (i.e., all five cards are different values)? (d) we get a full house (i.e., three cards of a kind, plus a different pair)?