Roll 2 dice adding and rolling one die, probability of being equal

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Roll two dice, add the results, call the number x. Roll one die call that number y. What is the probability that x and y are equal?

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Hint: Can you calculate the chance that two dice sum to $5$, for example? Take each possible sum, from $2$ to $6$ in turn. Calculate the chance the two dice sum to that, multiply by $\frac 16$ for the chance the single die shows that, and add them up.