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Game Theory and Strategy · End Term · 31 Aug 2025 · May 2025 term · Set QDB3

Question 23: Suppose an item is selected at random and found to be de…

Question 23

+2 marksNumerical answer

Three machines, A, B, and C, produce respectively 50%, 30% and 20% of the total no. of items of a factory. The percentages of defective output of these machines are 3%, 4% and 5%.
Based on the above data, answer the given subquestions.

Suppose an item is selected at random and found to be defective. The probability that the item was produced by machine A will be ____________

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Correct answer: 0.4025 (accepted within ±0.0025)

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Question 23 of 37 in the IIT Madras BS Game Theory and Strategy (Game Theory) End Term paper sat on 31 Aug 2025, in the May 2025 term (IIT M DEGREE AN EXAM QDB3 31 Aug 2025). It carries 2 marks.

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