A company evaluated 60 employees over three quarters (Q1, Q2, Q3). Each employee received a performance rating of Excellent, Good, or Needs Improvement in each quarter. No employee received the same rating in two different quarters. The table above shows the number of employees receiving each rating in each quarter.
Number of Employees by Performance Rating and Quarter
| Excellent | Good | Needs Improvement | Total | |
|---|---|---|---|---|
| Q1 | 5 | 10 | 5 | 20 |
| Q2 | 6 | 8 | 6 | 20 |
| Q3 | 7 | 7 | 6 | 20 |
| Total | 18 | 25 | 17 | 60 |
If an employee is selected at random, what is the probability that the selected employee received an "Excellent" rating in Q1 or Q2, given that the employee received an "Excellent" rating in one of the three quarters?