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

Answer: (D)

$\frac{15}{23}$

Answer 2

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