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Combination of 52 things taken 2 at a time is (52 x 51)/(2 x 1)=1326. This is the total possible outcomes when drawing two cards from a deck. Combination of 4 things taken 2 at a time is (4 x 3)/(2 x 1) = 6. This is the total possible combinations of two kings (Heart/Diamond, Heart/Spade, Heart/Club, Diamond/Spade, Diamond/Club, Spade/Club). The probability, then, is 6 out of 1326, or 1/221.

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15y ago
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12y ago

The probability of drawing the first card is 4/52. Since the card has not been replaced, the probability of drawing the second card is 3/51. Thus the probability of drawing 2 kings without replacement is (4/52)(3/51) =1/221 = .00452.

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Q: What is the probability of drawing 2 kings from a standard deck of fifty-two cards without replacement?
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