
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
Each face of a cube has stripes painted from the midpoint of one edge to the midpoint of the opposite edge. On any two opposing faces (like top and bottom), exactly one face's stripe must be perpendicular to the other. Calculate the probability that there is a continuous stripe running down one pair of faces and looping around on four adjacent sides completing a loop around the cube.
A) $\frac{1}{64}$
B) $\frac{1}{32}$
C) $\frac{3}{32}$
D) $\frac{1}{16}$
E) $\frac{1}{8}$

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