Answer:
[tex] \frac{7}{30} [/tex]
Step-by-step 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
[tex] = 95 - 55 = 40[/tex]
The number taking only Science
[tex] = 75 - 55 = 20[/tex]
The number of students taking Math, Science, or both
[tex] = 40 + 55 + 20 = 115[/tex]
The number taking neither Mathematics or Science
[tex] = 150 - 115 = 35[/tex]
The probability that a student is taking neither Math or science
[tex] = \frac{35}{150} [/tex]
[tex] = \frac{7}{30} [/tex]
