
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 fair, twenty-faced die has $19$ of its faces numbered from $1$ through $19$ and one blank face. Another fair, twenty-faced die has $19$ of its faces numbered from $2$ through $9$ and $11$ through $21$ and has one blank face. When the two dice are rolled, what is the probability that the sum of the two numbers facing up will be $25$? Express your answer as a common fraction.

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