
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
At Oakwood High, the school's 1204 students are divided into four lunch groups with the sizes 300, 301, 300, and 303 respectively for their lunch period. A computer randomly assigns each student to one of the four groups. What is the probability that three specific friends, Dustin, Erica, and Lucas, are all assigned to the same group?
A) $\frac{1}{16}$
B) $\frac{1}{27}$
C) $0.0623$
D) $\frac{1}{8}$

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