Question
From a standard pack of 52 cards, 3 cards are drawn at
random without replacement. The probability of drawing a king, a queen and a jack in order is.Solution
The probability of drawing a king, a queen and a jack in order is the product of the probabilities of drawing each card. There are 4 kings, 4 queens, and 4 jacks in a standard deck of 52 cards, so the probability of drawing any one of them is= 4/52. The first card can be any of the 3 cards in order. The probability of drawing a king first is.  The second card can be either a queen or a jack, but it cannot be the same as the first card.  There are 4 queens or jacks left, and 51 cards in total, so the probability of drawing the second card is =4/51 The same logic applies for the third card, and the probability of drawing a queen or a jack is =4/50  Therefore, the probability of drawing a king, a queen, and a jack in order is. =4/52× 4/51×4/50 =8/13×25×51= =8/16575
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