Given:
Total number of students: T = 147
Number of students taking math : M = 95
Number of students taking science : S = 73
Number of students taking both math and science = 52
To find:
The theoretical probability of randomly choosing a student who is taking math.
Solution:
It is given that,
Total number of students (T) = 147
Number of students taking math (M) = 95
So, he 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]
64.6% is the theoretical probability of randomly choosing a student who is taking math.
Hence, option C is correct.
