
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Each of six, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a four-of-a-kind (that is, there are two dice showing the same value, but no four dice show the same value)?

Present the answer in LaTex format: \boxed{Your answer}
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