Total number of 10 grader students = 260 students.
Total number of students who rides the bus and they are of 10th grader = 150 students.
Probability (a student rides the bus given that they are a 10th grader) =[tex]\frac{Total \ number \ of \ students \ rides \ the \ bus \ and \ 10th \ grader}{Total \ number \ of \ 10 \ grader \ students}[/tex]
Therefore,
P(E) = [tex]\frac{150}{260}[/tex]
Dividing top and bottom by 10, we get
P(E) = 15/26.
In decimals 0.577.
Therrefore, correct option is C) 150/260 = 15/26 = .577.