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A game is played by drawing 4 card from an ordinary deck and replacing each card after it is drawn.find the probability that at least 1 king is drawn

  • math - ,

    When a problem requires "at least one", it is often easier to find the probability of getting none and subtracting the probability from 1 (complement).

    Here, probability of not getting a king at a draw is 48/52, or 12/13.
    Probability of getting no king at 4 consecutive draws (with replacement) is (12/13)^4.
    The complement is 1-(12/13)^4, which is the probability of getting at least one king.

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