Answer:
0.49
Step-by-step explanation:
From the Venn diagram:
The number of students that study biology and physics = 2
The number of students that study biology and chemistry = 6
The number of students that study chemistry and physics = 4
The number of students that study only physics = 5
The number of students that study only biology = 7
The number of students that study only chemistry = 8
The number of students that study all 3 subjects = 3
The number of students that study none = 6
Therefore the total number of students = 2 + 6 + 4 + 5 + 7 + 8 + 3 + 6 = 41 students
The number of students that study chemistry = 8 + 6 + 3 + 4 = 21 students
The number of student that does not study chemistry = 41 - 21 = 20 students
the probability chosen at random that that child does not study chemistry = number of student that does not study chemistry / total number of students = 20/41 = 0.49
