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One card is selected at random from an ordinary set of 52 cards. Find the probability of each of the following events:
b. A spade and a 5 are drawn. 1/52

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Correct.

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the question is not very clear

you say one card is drawn and then ask for the prob of a spade AND a 5. That suggests two cards are drawn.
Did you mean "the 5 of spades" ?, that is the answer that PsyDAG agreed with.

If 2 cards are actually drawn then the prob would be
C(13,1)xC(4,1)/C(52,2) = 52/1326
= 2/51

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