A company manufactures products at two different factories, Factory A and Factory B. A quality control check was performed on a sample of products, and the results are summarized in the table below.
Product Quality by Factory
| Status | Factory A | Factory B | Total |
|---|---|---|---|
| Defective | 24 | 36 | 60 |
| Non-defective | 120 | 180 | 300 |
| Total | 144 | 216 | 360 |
If a randomly selected product is found to be non-defective, what is the probability that it was produced by Factory A?