
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, missing the number 20. Another fair, twenty-faced die has 19 of its faces numbered from 1 through 7 and 9 through 21, missing the number 8. What is the probability that the sum of the numbers facing up when the two dice are rolled will be 27? Express your answer as a common fraction.

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