The letters of the word `SIXTEEN' are randomly arranged.  What is the probability that the two E's are not next to each other?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The letters of the word `SIXTEEN' are randomly arranged.  What is the probability that the two E's are not next to each other?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\dfrac{5}{7}
The letters of the word `SIXTEEN' are randomly arranged.  What is the probability that the two E's are not next to each other?
train