Question

In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science. What is the probability of randomly choosing a student who is taking only math

Answer 1

I believe the answer is 28/160  simplified = 7/40

Answer 2

Answer: 0.175

Explanation:

Let M denotes students takes math and S denotes the students takes science.

As per given , we have

`n(M)=90\\\\ n(M\cap S)=62`

Then, the Number of students takes only math =
`n(M)-n(M\cap S)`

`=90-62=28`

Probability of randomly choosing a student who is taking only math :-

`=\frac{\text{Number of students takes only math}}{\text{total students }}\\\\=(28)/(160)=0.175`

hence, the required probability =0.175