Question

Fifty students in the third grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Blue eyes 14 8 22 Brown eyes 16 12 28 30 20 50 Are the events "blonde hair" and "blue eyes" independent?

Answer 1

The correct table is attached in the picture below.

There are 8 students who have Blonde Hair and Brown eyes. This means the two events "Blonde Hair" and "Blue eyes" are occurring at the same time and are dependent events.

For independent events, the "and" also knows as "intersection" of events is zero or an empty set. Since in this case the intersection of two events is non-zero, the events are dependent.