Given:
Total number of students = 147
Number of students taking math = 95
Number of students taking science = 73
Number of students taking both = 52
To find:
The theoretical probability of randomly choosing a student who is taking math.
Solution:
We have,
Total number of students = 147
Number of students taking math = 95
Now, the theoretical probability of randomly choosing a student who is taking math is
[tex]P(M)=\dfrac{\text{Number of students taking math}}{\text{Total number of students}}\times 100[/tex]
[tex]P(M)=\dfrac{95}{147}\times 100\%[/tex]
[tex]P(M)=64.62585\%[/tex]
[tex]P(M)\approx 64.6\%[/tex]
The theoretical probability of randomly choosing a student who is taking math is 64.6%.
Therefore, the correct option is C.
