
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 that 2 defective items and 3 good items are mixed together, they need to be distinguished through inspection. Each time, one product is randomly inspected and not returned, until 2 defective items or 3 good items are inspected, at which point the inspection ends. The probability that the inspection stops exactly after four inspections is _______. (Answer with a number.)

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