Gce Model Questions Vol1 2020 Further Mathematics Question 50

Practice objective / multiple choice question 50 from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2020 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 50 GCE_MODEL_QUESTIONS_VOL1 • 2020 • FURTHER_MATHEMATICS • objective

A factory uses two machines, M₁ and M₂, to produce items. Machine M₁ produces 60 % of the output and has a defect rate of 2 %; machine M₂ produces 40 % of the output and has a defect rate of 5 %. An item selected at random is found to be defective. (i) What is the probability that a second item drawn from the same machine is also defective? (ii) What is the probability that a third item drawn from the same machine is non‑defective?

Answer Options

A. (i) 0.05000 (5.000%); (ii) 0.95000 (95.000%)
B. (i) 0.03250 (3.250%); (ii) 0.96750 (96.750%)
C. (i) 0.04500 (4.500%); (ii) 0.95500 (95.500%)
Correct Answer D. (i) 0.03875 (3.875%); (ii) 0.96125 (96.125%)
Correct Answer
D
Correct Option:
(i) 0.03875 (3.875%); (ii) 0.96125 (96.125%)

About This Question

This is Gce Model Questions Vol1 2020 Further Mathematics Question 50. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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