
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
In a box, there are identical items manufactured by two machines: 40% of the items are produced by the first machine, and the rest by the second machine. The defect rate for the products from the first machine is 3%, and for the second machine it is 2%. Find the probability that a randomly selected item will be defective.

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