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AP EAMCET20227 Jul 2022Morning ShiftMathematicsProbabilityActual

If a toy factory, the machines A, B and C are used to manufacture 30 %, 40 % and 30 % of the output, respectively. The probabilities of toys made by machines A, B and C to be defective are respectively 2 %, 3 % and 1 % . A toy is taken from the factory and is found to be defective. The probability that it was manufactured by the machine B is

Options

  1. A4 / 5
  2. B2 / 9
  3. C3 / 4
  4. D4 / 7

Correct answer

D. 4 / 7

Step-by-step solution

aligned & P(A)= 30 100 , P(B)= 40 100 , P(C)= 30 100 & P ( E A )= 2 100 , P ( E B )= 3 100 , P ( E C )= 1 100 aligned where E denotes defective toys. Required probability =P ( B E ) aligned & = 40 100 3 100 30 100 2 100 + 40 100 3 100 + 30 100 1 100 & = 120 60+120+30 = 120 210 = 4 7 aligned

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