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

$P(M)=\dfrac{\text{Number of students taking math}}{\text{Total number of students}}\times 100$

$P(M)=\dfrac{95}{147}\times 100\%$

$P(M)=64.62585\%$

$P(M)\approx 64.6\%$

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

Therefore, the correct option is C.