A production process is known to produce a particular item in such a way that 5 percent of these are defective.If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)?
A)0.0100
B)0.1000
C)0.2000
D)0.0025

Question

Quizplus · Accepted Answer

Since the events of choosing the first item and the second item are independent, the probability of both being defective is the product of the probabilities of each being defective.

The probability of one item being defective is 0.05, so the probability of both being defective is:

0.05 x 0.05 =  0.0025

Therefore, the answer is D) 0.0025.

A Production Process Is Known to Produce a Particular Item