Emilee F. answered • 07/23/18

10+ Years of Tutoring Experience, Specializing in Math & Science

I think you may need to know the total number of bags, because once you choose 1 defective bag, the percentage of defective bags remaining in the group goes up. So if you have 100 bags, 10 will be defective, and your chance of choosing a defective bag on your first try is 10%; however, once you have chosen that, you now have 9 defective bags in a sample of 99, which is 9.1%. I hope that makes sense?

If you're replacing the bags though--that is, taking one out, evaluating whether it's defective or not, and putting it back, then the probability won't change each time and it's

0.1 x 0.1 x 0.1 x 0.1 x 0.9(since you're also choosing a functional bag--4 out of 5 are defective)

= 0.009% chance