NDA 2020 Mathematics question

MathematicsProbabilityNDA 2020

Three cooks X, Y and Z bake a special kind of cake, and with respective probabilities , and , it fails to rise. In the restaurant where they work, X bakes 50%, Y bakes 30% and Z bakes 20% of cakes. What is the proportion of failures caused by X?

Answer: (B)

Solution

By Bayes' theorem, \mid$failure) =

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Question ID VK-029291