Question:
Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.
Answer:
64/2210 Source: CoolInterview.com
64/2210 Source: CoolInterview.com
Answered by: raja | Date: 8/22/2010
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From a set of 52 cards, 4 cards are king, 4 cards are queen and 4 cards are ace. while drawing the first card, the probabilty that it will be king/queen/ace = 4/52.
drawing the second card, the probabilty that it will be queen/ace (if 1st card was king) / will be king/queen (if 1st card was ace) / will be king/ace (if 1st card was queen) = 4/(51)
drawing the 3rd card, the probability that it will be ace (if the first two are king and queen) / will be queen (if the first two are king and ace) / will be king (if the first two are queen and ace) = 4 /50
So the probability that the random chosen cards will consist of a king, a queen and an ace = 4/52 * 4 /51 * 4/50 Source: CoolInterview.com
Answered by: shriyash | Date: 8/26/2010
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