
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
Ang, Ben, and Jasmin each have $6$ blocks, colored red, blue, yellow, white, green, and orange. There are $5$ empty boxes where each person can place up to $2$ blocks, with the total number of blocks in each box being no more than $4$. Calculate the probability that in each box, all blocks are of the same color.
A) $5.93472 \times 10^{-5}$
B) $1.11286 \times 10^{-5}$
C) $1.86891 \times 10^{-6}$
D) $0.12345$

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