This video from Game Theory Online (http://www.game-theory-class.org) gives a high-level introduction to the idea of a mixed (i.e., randomized) strategy in a game, and of what it means for such strategies to be in Nash equilibrium. It features Kevin Leyton-Brown (UBC).

Game TheoryStanford UniversityUniversity of British ColumbiaGame Theory OnlineMixed StrategyNash Equilibrium (Namesake)