Gce Model Questions Vol1 2025 Further Mathematics Question 13
Practice objective / multiple choice question 13 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
In a factory, 60% of the items are produced by machine \(M_{1}\) and 40% by machine \(M_{2}\). The defect rates are 2% for \(M_{1}\) and 5% for \(M_{2}\). An item is selected at random and found to be defective. (a) What is the probability that a second independently selected item from the same batch is non‑defective? (b) Given that the first item was defective, what is the expected total number of defective items in a sample of 10 items drawn from the batch? Express your answers as fractions in lowest terms.
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This is Gce Model Questions Vol1 2025 Further Mathematics Question 13. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Hard .
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