Question

In a class of 150 students, 95 are taking Math, 75 are taking Science and 55 are taking both.What is the probability that a student is taking neither Math or science?

Answer 1

`(7)/(30)`

Explanation:

In a class of 150 students, 95 are taking Math, 75 are taking Science and 55 are taking both.

We want to determine the probability that a student is taking neither Math or science.

The number taking only Math is

`= 95 - 55 = 40`

The number taking only Science

`= 75 - 55 = 20`

The number of students taking Math, Science, or both

`= 40 + 55 + 20 = 115`

The number taking neither Mathematics or Science

`= 150 - 115 = 35`

The probability that a student is taking neither Math or science

`= (35)/(150)`

`= (7)/(30)`