Answer: 0.175
Step-by-step explanation:
Let M denotes students takes math and S denotes the students takes science.
As per given , we have
[tex]n(M)=90\\\\ n(M\cap S)=62[/tex]
Then, the Number of students takes only math = [tex]n(M)-n(M\cap S)[/tex]
[tex]=90-62=28[/tex]
Probability of randomly choosing a student who is taking only math :-
[tex]=\dfrac{\text{Number of students takes only math}}{\text{total students }}\\\\=\dfrac{28}{160}=0.175[/tex]
hence, the required probability =0.175
