Given:
The number of students will have headphones in their ears when exiting the student center =35
The number of students will have no headphones in their ears when exiting the student center =40
The total number of students = 35+40=75
The perobability is defined as,
[tex]P=\frac{\text{ Desired outcomes}}{\text{Total outcomes}}[/tex]
To find the probability that a randomly selected student will have headphones in their ears when exiting the student center is,
[tex]P=\frac{35}{75}=\frac{7}{15}[/tex]
Answer: the probability is 7/15.