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AP EAMCET202319 May 2023Morning ShiftMathematicsProbabilityActual

A shopkeeper buys a particular type of electric bulbs from three manufactures M₁, M₂ and M₃ . He buys 25 % of his requirement from M₁, 45 % from M₂ , and 30 % from M₃ . Based on past experience he found that 2 % of type M ₃ bulbs are defective, where as only 1 % of type M₁ and type M ₂ are detective. If a bulb chosen by him at random is defective, then the probability that it was of type M₃ is

Options

  1. A5 13
  2. B6 13
  3. C7 13
  4. D8 13

Correct answer

B. 6 13

Step-by-step solution

Let D= Chosen bulbs are defective. aligned & P (M₃ / D ) & = P (D / M₃ ) P (M₃ ) P (D / M₁ ) P (M₁ ) P (D / M₂ ) P (M₂ )+P (D / M₃ ) P (M₃ ) & = 2 100 30 100 1 100 25 100 + 1 100 45 100 + 2 100 30 100 = 6 13 aligned

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