Gce Model Questions Vol1 2017 Further Mathematics Question 35

Practice objective / multiple choice question 35 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 35 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

In a factory, 60% of the daily output comes from machine M1 and 40% from machine M2. The probability that an item is defective given it came from M1 is 0.02, and from M2 is 0.05. An inspector randomly selects 5 items (treating selections as independent) and finds exactly 2 defective items. What is the probability that both defective items originated from M2?

Answer Options

A. 9/32
B. 5/16
Correct Answer C. 25/64
D. 15/64
Correct Answer
C
Correct Option:
25/64

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 35. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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