Can someone explain how to do this probability question to me?

[das1]

Let G and H be two events for which one knows that P(G) = 0.5, P(H) = 0.3, and P(G and H) = 0.1.

What is P(G or H^C)?

 

[Evgeny.Makarov]

Draw $G$ and $H$ as intersecting circles. You know the area of $G$, the area of $H$ and the area of their intersection $G\cap H$. Can you find the area of $H\setminus G$ (that is, the part of $H$ that is not in $G$)? Then draw $G\cup H^c$ and think how it relates to $H\setminus G$.

 

[das1]

That cleared it up, thanks