The Multiplication Rule for Independent Events — Quiz
Question 7 • Algebra 2 with Probability
Suppose that among the 6 comma 000 students at a high school, 1 comma 500 are taking honors courses and 1 comma 800 prefer watching basketball to watching football. If 450 students are both taking honors courses and prefer basketball to football, are the events "taking honors courses” and "preferring basketball” independent?
Answer
A
Yes, because open paren 1500 over 6000 close paren times open paren 1800 over 6000 close paren is equal to 450 over 6000 .
B
No, because 1500 over 6000 is not equal to 1800 over 6000
C
Yes, because 450 over 1500 is not equal to 450 over 1800
D
No, because open paren 1 comma 500 close paren times open paren 1 comma 800 close paren is not equal to 450 .