
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
There are 800 students at Queen High School divided into four groups of equal size for lunch. Each group has lunch at a different time. A computer randomly assigns each student to one of four lunch groups. Four friends, Dan, Eve, Frank, and Grace, are among the students. What is the probability that all four friends will be assigned to the same lunch group?
A) $\frac{1}{256}$
B) $\frac{1}{64}$
C) $\frac{1}{32}$
D) $\frac{1}{16}$
E) $\frac{1}{8}$

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