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I have a hard time with this guys. Two machines $A$ and $B$ respectively produce 30% and 70% of materials for a company, while respectively 3% and 5% of the produced units are defective.

a) What is probability that one material out of the entire output is defective

b) probability that that defective material was produced by machine A

c) probability that that defective material was produced by machine B

I let the total output be equal to 100 units, the machine A producing 30 units and machine B producing 70 units.

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Oliver Chr
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    Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or be put on hold. To prevent that, please [edit] the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers. – José Carlos Santos Aug 14 '19 at 12:26
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    This question is essentially a duplicate. See https://math.stackexchange.com/questions/2279851/applied-probability-bayes-theorem/2279888#2279888 – Ethan Bolker Aug 14 '19 at 12:44

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