
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 rectangular prism is painted with a single narrow stripe from one vertex to the diagonally opposite vertex. The choice of the vertex pairing is made at random and independently for each face. What is the probability that there is a continuous stripe encircling the rectangular prism?
A) $\frac{1}{8}$
B) $\frac{3}{16}$
C) $\frac{1}{4}$
D) $\frac{3}{8}$
E) $\frac{1}{2}$

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