A factory has two machines A and B. Past records show that the machine A produced 60% of the items of output and machine B produced 40% of the items further 2% of the items produced by machine A were defective and 1% produced by machine B were defective. If an item is drawn at random, what is the probability that it is defective?

Explanation

To solve the problem, we need to find the probability that a randomly chosen item from the factory is defective. We will use the law of total probability for this calculation.

### Step-by-Step Solution:

1. **Identify the Probabilities:**
- Let \( P(A) \) be the probability that an item is produced by machine A.
- Let \( P(B) \) be the probability that an item is produced by machine B.
- From the problem, we know:
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