Question

Forty students in the second grade class listed their hair and eye colors in the table below:

Brown hair Blonde hair Total
Blue eyes 5 12 17
Brown eyes 16 7 23
21 19 40


Are the events "blonde hair" and "brown eyes" independent?

Answer 1

No, P(blonde hair)*P(brown eyes)not equal

Answer 2

Answer: No

Explanation:

When two events A and B are independent then the intersection of two events is equal to zero. i.e. They do not have any element common.

But from the given table we can see that the intersection of the events of "blonde hair" and "brown eyes" exists i.e
`\text{H}\cap E=5`.

Therefore, the the events "blonde hair" and "brown eyes" is not independent.