Answer:

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:
- Number who took PE and BIO only=10-5=5
- Number who took PE and ENG only=15-5=10
- Number who took BIO and ENG only =7 -5=2
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
