
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
The product is inspected for compliance by one of two inspectors. The probability that the product will be inspected by the first inspector is 0.55, and by the second is 0.45. The probability that a compliant product will be recognized as compliant by the first inspector is 0.9, and by the second is 0.98. A compliant product was confirmed as compliant upon inspection. Find the probability that it was inspected by the second inspector.

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