Posted by **nurul** on Friday, June 14, 2013 at 5:44am.

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

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**MathMate**, Friday, June 14, 2013 at 6:45am
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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