
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 Sunview High School are divided into three groups of equal size. A computer randomly assigns each student to one of the three groups. Calculate the probability that four friends, Dave, Erin, Frank, and Gwen, will be assigned to the same group.

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