
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
Allison, Charlie, and Eve each have a 6-sided cube. All of the faces on Allison's cube have a 4. The faces on Charlie's cube are numbered 1, 2, 3, 4, 5, and 6. Eve's cube has two faces with a 3, three faces with a 4, and one face with a 5. All three cubes are rolled. What is the probability that Allison's roll is greater than each of Charlie's and Eve's? Express your answer as a common fraction.

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