Two fair, six-sided dice are rolled.  What is the probability that the sum of the two numbers showing is between 3 and 11, inclusive?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Two fair, six-sided dice are rolled.  What is the probability that the sum of the two numbers showing is between 3 and 11, inclusive?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{17}{18}
Two fair, six-sided dice are rolled.  What is the probability that the sum of the two numbers showing is between 3 and 11, inclusive?
train