The table below gives the number of United States presidents from 1789 to 2015 whose age at the time they first took office is within the interval listed.
| Ages | Number |
|---|---|
| 40-44 | 2 |
| 45-49 | 7 |
| 55-59 | 11 |
| 60-64 | 7 |
| 65-69 | 3 |
Based on the data, which age interval represents the mode (most frequent) age for presidents taking office? If a president is selected at random from all presidents listed, what is the probability that their age at taking office falls within this modal interval?
45-49;
50-54;
55-59;
60-64;
