
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
King Middle School has expanded, now encompassing 900 students. These students are divided into five groups of equal size for lunch, with each group having lunch at a different time. A computer randomly assigns each student to one of the five lunch groups. Calculate the probability that four friends, Al, Bob, Carol, and Dan, will be assigned to the same lunch group.
A) $\frac{1}{625}$
B) $\frac{1}{500}$
C) $\frac{1}{125}$
D) $\frac{1}{25}$
E) $\frac{1}{5}$

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