A box has 100 pens of which 10 are defective. What is the probability that out of a sample of 5 pens drawn one by one with replacement at most one is defective?
A. \(\left(\frac{9}{10}\right)^{5}\)
B. \(\frac{1}{2}\left(\frac{9}{10}\right)^{4}\)
C. \(\frac{1}{2}\left(\frac{9}{10}\right)^{5}\)
D. \(\left(\frac{9}{10}\right)^{5}+\frac{1}{2}\left(\frac{9}{10}\right)^{4}\)
Answer:D
A box has 100 pens of which 10 are defective. What is the probability that out of a sample of 5 pens drawn one by one with replacement at most one is defective?
A. \(\left(\frac{9}{10}\right)^{5}\) B. \(\frac{1}{2}\left(\frac{9}{10}\right)^{4}\) C. \(\frac{1}{2}\left(\frac{9}{10}\right)^{5}\) D. \(\left(\frac{9}{10}\right)^{5}+\frac{1}{2}\left(\frac{9}{10}\right)^{4}\)