One light bulb is selected at random from a lot of 140 light bulbs, of which 2% are defective. What is the probability that the light bulb selected is defective?
A) The probability is 0.04
B) The probability is 0.01
C) The probability is 0.02
D) The probability is 0.03

Question

One light bulb is selected at random from a lot of 140 light bulbs, of which 2% are defective. What is the probability that the light bulb selected is defective? ​
A) The probability is 0.04
B) The probability is 0.01
C) The probability is 0.02
D) The probability is 0.03

Quizplus · Accepted Answer

The problem states that 2% of the light bulbs are defective, which means out of 140 light bulbs, 2% * 140 = 2.8 light bulbs are defective. Since we cannot have a fraction of a light bulb, we can say that there are either 2 or 3 defective light bulbs. Therefore, the probability of selecting a defective light bulb is either 2/140 or 3/140. Simplifying each fraction gives us 0.01429 or 0.02143, respectively. Since we are asked for the probability of selecting a defective light bulb, we can choose the closest answer choice, which is C - the probability is 0.02.

One Light Bulb Is Selected at Random from a Lot