
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
A retreat center packed breakfast for four guests. Each breakfast should have consisted of four types of rolls, one each of nut, cheese, fruit, and veggie rolls. The preparer wrapped each of the sixteen rolls and once wrapped, the rolls became indistinguishable from one another. She then randomly put four rolls in a bag for each of the guests. Find the probability each guest got one roll of each type, expressed as a reduced fraction.

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