Explore the foundations of statistical mechanics in this distinguished lecture by renowned physicist Joel Lebowitz. Delve into the qualitative reasoning behind statistical mechanics' ability to predict macroscopic system behavior with high certainty, both in and out of equilibrium. Examine the concept of typicality in Gibbs ensembles and their derivatives, understanding how small phase space volume correlates with low probability. Gain insights from Lebowitz's extensive experience in the field, including his work with Lars Onsager and his contributions to mathematical physics that have earned him numerous prestigious awards.