This is PURIM, a Maple package. It uses an Umbral-Operator approach to study prob. of winning, expected life, and probability distributions for discrete gambling problems, in the style of Dubins-Savage, Kelly, and Breiman. This Maple package (along with the Maple package HIMURIM) accompanies the article ”How to Gamble If You’re in a Hurry” by Shalosh B. Ekhad and Doron Zeilberger