GMATinsight wrote:
If 3 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King, one of them will be Queen and one of them will be Jack?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit
A) 96/5525
B) 48/5525
C) 16/5525
D) 8/16575
E) 1/2197
Source :
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Kudos Let K,Q and J represent King, Queen and Jack respectively.
One possible combination is KQJ and this can be arranged in 3! ways.
Probability of KQJ = (4/52)*(4/51)*(4/50)
Total probability = 3! * (4/52)*(4/51)*(4/50) . No need for final calculation. Reduce this to simpler form and you only have 1 option with 16 in the numerator. C is the correct answer.