Hey I was reading some basic probability problems from my Intro Stats book and thought of a problem to test if I understand it correctly.
Consider the statistical "experiment" of selecting 1 human from the entire U.S. Population.

Let event A be defined as: Human has Red Hair, P(A) = .06
Let event B be defined as: Human has Obsessive Compulsive Disorder, P(B) = .02

Would the probability of selecting 1 human who has both Red Hair and OCD be found by using the special multiplication rule P(A)xP(B) = .0012 or .12% chance?

Am I correct and is there anything wrong with what I wrote?