Given:
Total students = 6,000
Students taking honors courses = 1,500
Students preferring basketball = 1,800
Students in both = 450
To find:
Whether the two events "taking honors courses" and "preferring basketball" are independent or not?
Solution:
Let as consider the following events.
A : Taking honors courses
B : Preferring basketball
: Both
We know that,
Using this formula, we get
Two evens are independent if
Now,
So, the events A and B are intendent because
Therefore, the correct option is D.