
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
Two custom dice are designed with non-standard numbers. The first die has the numbers {1, 3, 3, 5, 5, 7}, and the second has the numbers {2, 2, 4, 4, 6, 6}. These dice are rolled, and the numbers on the top faces are added. Calculate the probability that the sum is 9.

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