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    Question

    From a well-shuffled deck of 52 cards, two cards are

    drawn one after the other without replacement. What is the probability that the first card is a red ace and the second card is black?
    A 9/23 Correct Answer Incorrect Answer
    B 3/52 Correct Answer Incorrect Answer
    C 1/51 Correct Answer Incorrect Answer
    D 2/47 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Number of red aces in the pack = 2 Number of black cards in the pack = 26 Since 1st  card is not put back. So, the required probability: (2 C1 /52 C1 ) * (26 C1 /51 C1 ) = (2/52) × (26/51) = 1/51

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