A quick video to illustrate that P(A) = P(A and B) + P(A and Bc), and work through a simple conditional probability example that makes use of this identity.

I know from experience that some of my students have trouble seeing this (especially when it comes up in a formulaic approach to a problem), and I wanted to have a video that I could point them to.

My Law of Total Probability video is here:    • The Law of Total Probability