find the answer

Question

A manufacturing machine has a 4% defect rate. If 4 items are chosen at random, what is the probability that at least one will have a defect?

Answer 1

Find the probability that none will be defective. Then subtract that from one..

1=0.04 = 0.96

0.84934656=

P(none) = (.96)^4

P(at least one defective) = 1-(.96)^4 = 1 - 0,84934656 =

0.15065344 = 15.065344% chance of at least one defective with 4 chosen randomly