SOLUTION: Two cards are chosen at random from a pack of 52 playing cards. What is the probability that at least one of them is a picture card?

Question 885510: Two cards are chosen at random from a pack of 52 playing cards. What is the probability that at least one of them is a picture card?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
this should be 1 minus the probability that they are both not picture cards.
there are 12 picture cards in the deck (jack, queen, king) for each suit of (spades, clubs, diamonds, hearts) = 3 * 4 = 12.
probability of not getting a picture card on the first draw is 40/52.
probability of not getting a picture card on the second draw is 39/51.
probability of not getting a picture card on the first and second draw is (40*39)/(52*51).
the probability of getting at least one picture card is 1 - (40*39)/(52*51)
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