
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 cube was painted white on the outside and then cut into 64 smaller cubes. These smaller cubes were then randomly reassembled to form a new cube. (The smaller cubes could not only change places but also be rotated.) What is the probability that the new cube will be white on the outside? (All ways of assembling the larger cube are equally likely.)

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