
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
The 900 students at King Middle School are divided into six groups of equal size for lunch. Calculate the probability that four friends, Al, Bob, Carol, and Dave, will be assigned to the same lunch group.

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