Gce Model Questions Vol1 2018 Further Mathematics Question 10

Practice objective / multiple choice question 10 from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2018 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 10 GCE_MODEL_QUESTIONS_VOL1 • 2018 • FURTHER_MATHEMATICS • objective

In a factory, machines \(A\) and \(B\) produce \(60\%\) and \(40\%\) of the output respectively. The defect rates are \(2\%\) for \(A\) and \(5\%\) for \(B\). An item is selected at random and found to be defective. The same machine then produces a second item. Before producing the second item, the machine has a \(10\%\) chance of being recalibrated, which halves its defect rate for that item only. What is the probability that the second item is also defective? Give your answer as a reduced fraction.

Answer Options

A. 3069/80000
B. 310/16000
C. 620/16000
Correct Answer D. 589/16000
Correct Answer
D
Correct Option:
589/16000

About This Question

This is Gce Model Questions Vol1 2018 Further Mathematics Question 10. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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