Abstract: A method for ordering all of the possible hands into a particular sequence is presented. Due to the particular manner in which the hands are ordered and sequenced, any one of the hands can be accessed fairly quickly by the methods provided herein which simplifies complex calculations to table look-up operations. Given a particular hand (the first five cards given to the player in a five-card draw poker), all of the possible hands arising from the particular hand (as a result of the number of cards kept by the player) is iterated and the types of all possible resulting hands tabulated. The combination of hands resulting from the number of cards kept is considered in the iteration. After the iteration is completed, the results obtained is a tabulation of each combination of hands obtained.