Probability-5

Discrete Mathematics Level 3

Two person $$A$$ and $$B$$ throw a (fair) die ( six-faced cube with face no. $$1$$ to $$6$$) alternatively, starting with $$A$$. The first person to get an outcome different from the previous one by the opponent wins. The probability that $$B$$ wins is $$\frac{x}{y}$$. Then $$x+y$$ is

Note: $$\gcd ( x,y )$$ is $$1$$

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