Hey biglew404.

You should show us what you tried but as a hint, if neither event occurs that is the same as (A OR B)^C (C means complement) which in probability terms is 1 - P(A OR B) where A and B are your events.

Now from Kolmogorov axioms we have P(A OR B) = P(A) + P(B) - P(A and B). Given this information, where do you think you can go from here?