Bayes Theorem Probability of Defective Bolt from three machines IIT JEE CBSE 12 NCERT

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In a bolt factory, machine A, B, C manufacture 25%, 35% and 40%, respectively, of the total bolts. Of their outputs, 5%, 4%, and 2% are respectively, defective bolts. A bolt is drawn at random from the product. If the bolt drawn is found defective, what is the probability that it is manufactured by the machine A or C? contact [e-mail] for suggestions and guidance. Thanks

[@alyaqistina597]

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[@sidharthmaity_0884]

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[@janet_Haufiku2]

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[@achaikuol5931]

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[@user-ls3bi6jk8u]

It is observed that 76% of Group A favors the product, 47 % of Group B favors the product and 54% of Group C favors the product. A random sample of 105 people with 35 from group A, 28 from Group B and 42 from Group C, was chosen and polled. A random vote from the poll suggests that the product is preferred. What is the probability that this vote belongs to a person from group B

[@tbc6583]

This is the best explanation

[@MathematicsTutor]

Thanks

[@krishKalavadia]

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[@MathematicsTutor]

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[@debu98]

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[@khenan2268]

Neat 👍🏻

[@samedia45]

very well explained. i understood. thanks

[@jameskarisa6360]

Thank you Sir

[@ajithkrishna2341]

It's help🔥

[@dhruvsolanki9479]

In a manufacturing plant, machine A produces 10% of a certain product, machine B produces 40% of this product, and machine C produces 50% of this product. Five percent of machine A products are defective, 12% of Machine B products are defective, and 8% of Machine C products are defective. The company inspector has just sampled a product form this plant and has found it to be defective. Determine the revised probabilities that the sampled product was produced by machine A, machine B or machine C.

[@charanps8927]

Please explain how that 41/69 it arises? Please.

[@nishaadhikari2714]

Firstly we multiply both of them and the given answer is multiply by 100

[@gtrdotone3735]

There is an easier solution and faster way to solve this problem without having to recourse to Bayes' theorem. The answer is (125/345) + (80/345) = 36.23% + 23.19% = 59.42%.

[@theyaghu]

What to do is the question is .. What is the probability that it is manufactured by the missing A and C ?

[@theyaghu]

Waiting for the answer because I have an exam tomorrow 🥺

[@shaveenh.husien]

Thank you sir 🙏🏻