
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
Given the six arts are "rites", "music", "archery", "charioteering", "literature", and "mathematics", and at least one of "rites" and "music" must be placed separately from each other, calculate the probability that two sessions for the remaining four arts are arranged after "mathematics" in the first two sessions.

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