Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are defective. If one item is drawn from each container, what is the probability that only one of the items is defective?
A) 0.2250
B) 0.6250
C) 0.2500
D) 0.4750
E) 0.1500

Question

Quizplus · Accepted Answer

Container 1 P(Defective) = 3/8 = .375; Container 2 P(Defective) = 2/5 = .400
P(Both defective) = .375 × .400 = .150; P(Neither defective) = (1 - .375) × (1 - .40) = .375
P(Only one defective) = 1 - (.150 + .375) = .475

Container 1 Has 8 Items, 3 of Which Are Defective