What is the probability of getting at least one $3$ when rolling two standard dice? What is the probability of getting at least one $3$ when rolling two standard ($6$-sided) dice?
I was thinking the answer would be $11$ out of $36$, but the textbook says it is $10$ out of $36$.
Please help.

The correct answer is: $\frac {1}{6} \times \frac{5}{6} + \frac {5}{6} \times \frac{1}{6} + \frac {1}{6} \times \frac{1}{6} = \frac {11}{36}$ 
The test book is in error.
