
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 batch of one hundred parts is subjected to a sampling inspection. The entire batch is considered unacceptable if at least one defective part is found among the four parts that are tested. What is the probability that this batch will not be accepted if it contains $3\%$ defective parts?

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