
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
Among 10 pencils, there are 8 of high quality and 2 of inferior quality. If two pencils are drawn randomly, what is the probability that the second pencil drawn is of high quality given the first one drawn is of inferior quality?

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