If only cards could talk!

You have 4 playing cards in your hand. 2 of them are Kings and 2 of them are Queens. You told one of your friends to choose 2 cards randomly from these 4 cards. Let the probability that the chosen cards consist of a King and a Queen be \(\Large \frac{a}{b}\) where \(a\) and \(b\) are coprime positive integers. What is the value of \(a+b\)?

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