Consider the following statements about probability: 1. For any two events, P(A∪B) ≤ P(A) + P(B). 2. If A ⊆ B, then P(A) ≤ P(B). 3. For independent events, P(A|B) = P(A). Which of the above is/are correct?
In a factory, machines A, B, and C produce 30%, 45%, and 25% of total output, with defect rates of 2%, 3%, and 4% respectively. If a randomly selected item is defective, the probability it was produced by machine B is approximately:
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