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MCQEasyJEE Main 2023 · 8 April, Shift 1Conditional Probability & Bayes Theorem

Mathematics Question from JEE Main 2023 · 8 April, Shift 1

In a bolt factory, machines A, B, and C manufacture respectively 20%20\%, 30%30\%, and 50%50\% of the total bolts. Of their output, 3%3\%, 4%4\%, and 2%2\% are defective bolts. A bolt is drawn at random from the product. If the bolt drawn is found to be defective, then the probability that it is manufactured by machine C is:

  • A

    514\frac{5}{14}

  • B

    37\frac{3}{7}

  • C

    928\frac{9}{28}

  • D

    27\frac{2}{7}

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