Ben rolls two fair six-sided dice. What is the expected value of the larger of the two numbers rolled? Express your answer as a fraction.  (If the two numbers are the same, we take that number to be the "larger" number.)
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Ben rolls two fair six-sided dice. What is the expected value of the larger of the two numbers rolled? Express your answer as a fraction.  (If the two numbers are the same, we take that number to be the "larger" number.)
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{161}{36}
Ben rolls two fair six-sided dice. What is the expected value of the larger of the two numbers rolled? Express your answer as a fraction.  (If the two numbers are the same, we take that number to be the "larger" number.)
train