
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
Melinda has three empty boxes and 15 textbooks, four of which are mathematics textbooks. Each box can hold exactly 5 of her textbooks. If Melinda packs her textbooks into these boxes in random order, calculate the probability that all four mathematics textbooks end up in the same box.

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