
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
Three people, Ada, Ben, and Cindy, each possess a set of 4 differently colored blocks: red, blue, yellow, and black, with an additional 4 boxes. They each randomly and independently place one of their blocks in each of the boxes. Calculate the probability that no box receives blocks of all the same color.
A) \( \frac{14811}{65536} \)
B) \( \frac{50625}{65536} \)
C) \( \frac{1}{16} \)
D) \( \frac{5}{16} \)
E) \( \frac{15}{16} \)

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