
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
Thirteen people sit down at random seats around a round table. Six of them are math majors, three are physics majors, and four are biology majors. What is the probability that all six math majors sit in consecutive seats and at least two physics majors sit consecutively?

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