A medical clinic tracked the recovery progress of 40 patients over three weeks. Each patient's recovery status was categorized as Full Recovery, Partial Recovery, or No Change for each week. No patient achieved the same recovery status in two different weeks. The table above shows the number of patients for each recovery status in each week.
Number of Patients by Recovery Status and Week
| Full Recovery | Partial Recovery | No Change | Total | |
|---|---|---|---|---|
| Week 1 | 15 | 20 | 5 | 40 |
| Week 2 | 18 | 15 | 7 | 40 |
| Week 3 | 22 | 10 | 8 | 40 |
| Total | 55 | 45 | 20 | 120 |
If a patient is selected at random, what is the probability that the selected patient achieved "Partial Recovery" on Week 1, given that the patient achieved "Partial Recovery" on any of the three weeks?
