Question

An electric bulb manufacturing company manufactures three types of electric bulbs A, B and C. In a room containing these three types of electric bulbs, it is known that 6% of type A electric bulbs are defective, 4% of type B electric bulbs are defective and 2% of type C electric bulbs are defective. An electric bulb is selected at random from a lot containing 50 type A electric bulbs,30 type B electric bulbs and 20 type C electric bulbs. The selected electric bulb is found to be defective. Then the probability that the selected electric bulb was type A is

• A. \(\frac{2}{23}\)
• B. \(\frac{23}{500}\)
• C. \(\frac{12}{23}\)
• D. \(\frac{15}{23}\)
• E. \(\frac{6}{115}\)

Answer 1

The Correct Option is D

The correct option is (D): \(\frac{15}{23}\)