If there are 52 cards in a pack, what is the probability of picking 2 kings in a row when the first

Discussion in 'Calculator Requests' started by math_celebrity, Mar 5, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If there are 52 cards in a pack, what is the probability of picking 2 kings in a row when the first card picked is not put back?

    4 kings in a deck, and 52 cards in a pack.

    First draw, the probability of drawing a king is 4/52.
    Second draw, we have 51 cards left since we do not put the first card back, and only 3 Kings left. So the second draw probability for a King is 3/51.

    Since each draw is independent, we multiply the first and second draws:
    4/52 * 3/51 = 12/2652 = 0.0045
     

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