
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 can independently either have a narrow stripe across it from the center of one edge to the center of the opposite edge, or it can be left clear. If each face has an equal probability of being striped or clear, what is the probability that there is a continuous stripe encircling the cube?
A) \(\frac{1}{16}\)
B) \(\frac{3}{32}\)
C) \(\frac{1}{8}\)
D) \(\frac{1}{4}\)
E) \(\frac{1}{2}\)

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