Judging from recent experience, 5 percent of the computer keyboards produced by an automatic, high-speed machine are defective. If six keyboards are randomly selected, what is the probability that none of the keyboards are defective?
A) 0.167
B) 0.735
C) 0.500
D) 1.00
E) 0.2321

Question

Quizplus · Accepted Answer

The probability of selecting a non-defective keyboard is 1 - 0.05, which is 0.95. Assuming each keyboard is independently selected, the probability of selecting six non-defective keyboards is:
0.95 * 0.95 * 0.95 * 0.95 * 0.95 * 0.95 = 0.735, which is approximately 0.74.
Therefore, the best choice is B, with a probability of 0.735.

Judging from Recent Experience, 5 Percent of the Computer Keyboards