Subtract 52 from m, s, and the total amount of students.. 52 is the amount of students that would take both math and science. m now equals 43, s now equals 23, and the total students remaining is 95.
Since the criteria wants you to exclude students that take math or science, add m and s together.
[tex]43 + 23 = 66[/tex]
This is the total amount of students that take math or science.
To find the probability of picking a student that doesn't take math or science, subtract 66 from the total amount of students.
[tex]95 - 66 = 29[/tex]
Take this amount and divide by the total amount of students again.
[tex] \frac{29}{95} = 0.3052[/tex]
Convert the decimal into a percentage.
[tex]0.3052 = 30.52[/tex] %
There is a 30.52% chance of picking a student that doesn't take math nor science.
