GATE Overflow Test Series | Probability | Test 1 | Question: 19

Question

In a car factory wings $A,B,C$ manufacture $30, 33$ and $37$ percent of the total engines, respectively. Of their output $4, 3$ and $2$ percent respectively are defective. If an engine is drawn at random from the produce and is found defective, what is the probability that it was manufactured in the $C$ wing? (Rounded to $2$ decimal points)

Answer 1

Required Probability $=P(C|d) = \dfrac{P(C \cap d)}{P(d)} $

$\quad = \dfrac{0.37 \times 0.02}{0.3 \times 0.04 + 0.33 \times 0.03 + 0.37 \times 0.02} =0.2525 $

Answer 2

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