
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 rectangular prism has dimensions 2 units by 3 units by 5 units. Calculate the probability that three randomly chosen vertices of this prism will form a plane that intersects the interior of the prism.
A) $\frac{1}{4}$  
B) $\frac{4}{7}$  
C) $\frac{11}{14}$  
D) $\frac{13}{14}$

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