
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 Royal High School are divided into four groups of equal size for lunch. Each group dines at a different time. A computer randomly assigns each student to one of the four lunch groups. Calculate the probability that three friends, Alex, Bella, and Chris, will be assigned to the same lunch group.
A) $\frac{1}{64}$
B) $\frac{1}{32}$
C) $\frac{1}{16}$
D) $\frac{1}{8}$
E) $\frac{1}{4}$

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