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roll 7 or 11

Whatever it is, there's one possible roll of the second die that gives you a $7$. So the chance of rolling a $7$ has to be $\frac 16$. To calculate the chance of rolling an $11$, roll the dice one at a time. If the first roll is $4$ or less, you have no chance. The first roll will be $5$ or more, keeping you in the ball game, with probability

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