Posted by Anonymous on Friday, August 24, 2012 at 2:58pm.
Because there's no sample space diagram here to clarify the point, my first question is "Does an ordinary deck of cards contain a joker?", because that affects the answer to every subsequent question. Assuming that it doesn't:
P(five of clubs): there's only one five of clubs in a deck, so the answer is 1/52.
P(five): there are four fives in a deck, so the answer is 4/52 = 1/13.
P(club): there are 13 clubs in a deck, so the answer is 13/52 = 1/4.
And so on. Note on question 7 that a single card can't be both a five and a jack.
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