L asked in Science & MathematicsMathematics · 3 weeks ago

3 cards are chosen without replacement from a 52-card deck, what's the probability that the cards are in order of Ace, King, and Queen?

2 Answers

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  • 3 weeks ago

    The probability of drawing an ace from a full deck of cards is 4/52 or 1/13.

    Once one card is removed, the probability of drawing one of the 4 kings from a deck of 51 cards is 4/51.

    Once two cards are removed, the probability of drawing one of the 4 queens from a deck of 50 cards is 4/50 or 2/25.

    The probability of all events to happen together, multiply the individual probabilities:

    1/13 * 4/51 * 2/25 = 8/16575 or approx 0.000483 (rounded to 3SF)

  • 3 weeks ago

    first card: 4/52 = 1/13

    second card: 4/51

    third card: 4/50

    overall: (1/13)(4/51)(4/50) = 0.0004827 approx.

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