
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, Brian, and Noah each have a 6-sided cube. All of the faces on Allison's cube have a 6. The faces on Brian's cube are numbered 2, 2, 4, 4, 6, and 6. Three of the faces on Noah's cube have a 4 and three of the faces have an 8. All three cubes are rolled. What is the probability that Allison's roll is greater than each of Brian's and Noah's? Express your answer as a common fraction.

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