
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
Consider Ang, Ben, and Jasmin each having 6 blocks of different colors: red, blue, yellow, white, green, and orange. They independently place one of their blocks into each of 6 empty boxes. Compute the probability that at least one box receives 3 blocks all of the same color, expressed as a fraction $\frac{m}{n}$, where $m$ and $n$ are relatively prime integers.

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