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    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.

    A 4/16575 Correct Answer Incorrect Answer
    B 6/16575 Correct Answer Incorrect Answer
    C 8/16775 Correct Answer Incorrect Answer
    D 8/16575 Correct Answer Incorrect Answer

    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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