40 students took a test consisting of three sections: A, B, and C. Each student's score for each section was categorized into ranges. No student achieved the same score range on two different sections. The table above shows the number of students in each score range for each section.
Number of Students by Score Range and Section
| 90-100 | 80-89 | 70-79 | \lt 70 | Total | |
|---|---|---|---|---|---|
| Sec A | 8 | 12 | 15 | 5 | 40 |
| Sec B | 10 | 10 | 12 | 8 | 40 |
| Sec C | 12 | 8 | 10 | 10 | 40 |
| Total | 30 | 30 | 37 | 23 | 120 |
If a student is selected at random, what is the probability that the selected student scored in the 90-100 range on Section A or Section C, given that the student scored in the 90-100 range on any of the three sections?
