
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 product inspector in a factory may mistakenly identify a good product as defective, and similarly, may also mistakenly identify a defective product as good. It is known that the probability of him identifying a good product as defective is 0.02, and the probability of him identifying a defective product as good is 0.01. If there are 3 good products and 1 defective product, the probability that the inspector correctly identifies all 4 products is (the result should be kept to three decimal places).

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