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Combinatorics Difficulty 2.0 Junior Prove it United Kingdom

Three fair dice are rolled. The first dice has three red faces, two white faces and one blue face. The second dice has two red faces, two white faces and two blue faces. The third dice has one red face, two white faces and three blue faces. The probability that, following rolling, all three dice will show the same colour is K1080\frac{K}{1080}. What is the value of KK?

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