Question

A bin contains 72 light bulbs of which 10 are defective. If 5 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary. (Hint: sampling with replacement = independent events)

Answer 1

0.4735

Explanation:

10 defective, 62 not defective

P(good) = 62/72 = 31/36

All 5 good:

(31/36)⁵ = 0.4734738145