Charlie, Amita, and Larry explain how they can match a crime to a specific criminal using a quadratic discriminant analysis to see which known criminals are most drawn to a specific crime.

Don needs help tracking a shipping container. Charlie uses an algorithm to determine the possible places the shipping container could be.

A traffic accident causes a bus of inmates to escape. Charlie and Larry investigate the circumstances surrounding the crash and realize that the series of unlikely events causing the bus accident to occur is a Markov Chain. They conclude that the crash wasn't an accident.

While hunting for a criminal who is good at hiding his face, Don asks Charlie to see which crime syndicates their suspect may be a part of. To figure it out, Charlie explains the belief propogation which takes scattered data and pulls it into a coherent image.

Not all motives are created equal. Don gives Charlie a long list of suspects with the same motive. Charlie uses an asymmetric threat assessment to see which of their suspects were the most affected by their motive and most likely to act.