Statistics help!

Question

A manufacturing machine has a 2% defect rate.

If 4 items are chosen at random, what is the probability that at least one will have a defect?

Answer 1

P(zero defects in 4 random items) = .98^4

P(at least one defect in 4 random items) = 1-P(0) = 1-.98^4

P(1 defect in 1 item) = .02

P(no defect in 1 item) = 1-.02 = .98

P(at least 1 defect in 4 items) = 1-P(no defect in 4 items) = 1-.98^4