Answer:
Step-by-step explanation:
Looking at the Venn diagram,
The total number of students surveyed is 7 + 5 + 8 + 6 + 2 + 4 + 3 + 6 = 41
The number of children that studies none of the subjects is 6
The number of children that study only biology is 7
The number of children that study only physics is 5
The number of children that study only physics and biology is 2
Therefore, the number of students that do not study chemistry is 6 + 7 + 2 + 5 = 20
Probability = number of favorable outcomes/total number of outcomes
Therefore, the probability that a child chosen at random does not study chemistry is 20/41 = 0.49
