The probability of choosing a student who is not taking math or science is equal to the number of students not taking math or science divided by the total number of students.
Total number of students = 147
Number of students taking math = 95
Number of students taking science = 73
Number of students taking both math and science = 52
Number of students not taking math or science = Total number of students - (Number of students taking math + Number of students taking science - Number of students taking both math and science)
Number of students not taking math or science = 147 - (95 + 73 - 52)
Number of students not taking math or science = 147 - (168 - 52)
Number of students not taking math or science = 147 - 116
Number of students not taking math or science = 31
Probability = Number of students not taking math or science / Total number of students
Probability = 31 / 147
Probability = 31/147
Therefore, the probability of choosing a student who is not taking math or science is StartFraction 31 over 147 EndFraction.