Answer:
[tex]\dfrac{118}{135}[/tex]
Step-by-step explanation:
Total Number of Students =135
Number who took all three subjects=5
Number who took PE and BIO=10
Number who took PE and ENG=15
Number who took BIO and ENG=7
Therefore:
Total Number of students who took exactly two subjects=5+10+2=17
Therefore:
Number of students who did not take exactly two subjects=135-17=118
The probability that a randomly-chosen student from this group did not take exactly two subjects
[tex]=\dfrac{\text{Number of students who did not take exactly two subjects}}{\text{Total Number of students }} \\=\dfrac{118}{135}[/tex]