Container 1 has 8 items,3 of which are defective.Container 2 has 5 items,2 of which are defective.One item is selected at random from each container.What is the probability that exactly one of the two items is defective?
A)0.25
B)0.275
C)0.325
D)0.475
E)0.575

Question

Quizplus · Accepted Answer

The probability of selecting exactly one defective item involves two scenarios: selecting a defective item from Container 1 and a non-defective item from Container 2, or selecting a non-defective item from Container 1 and a defective item from Container 2. The probability for the first scenario is (3/8) * (3/5) = 9/40. The probability for the second scenario is (5/8) * (2/5) = 10/40. Adding these probabilities gives 19/40, which is 0.475.

Container 1 Has 8 Items,3 of Which Are Defective