Question

Please help I beg show work

A 85.7%
B 21.1%
C 64.6%
D 35.4%

Answer 1

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

`P(M)=\frac{\text{Number of students taking math}}{\text{Total number of students}}* 100`

`P(M)=(95)/(147)* 100\%`

`P(M)=64.62585\%`

`P(M)\approx 64.6\%`

The theoretical probability of randomly choosing a student who is taking math is 64.6%.

Therefore, the correct option is C.