
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
Given the teacher assigned two math problems, with a probability of $\frac{7}{8}$ of solving the first problem correctly, $\frac{6}{8}$ of solving the second problem correctly, and $\frac{5}{8}$ of solving both problems correctly, calculate the probability of solving the second problem correctly given that the student solved the first problem correctly.

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