Wagering system with improved communication between host computers and remote terminals

In an apparatus for operating a computerized lottery system, wherein it is usually necessary for spontaneously transmitting each individual wager from a remote terminal to a host computer and wherein, cumulatively, a total amount of data is transmitted therebetween at a consequent cost of transmission and with a limited number of types of economically viable transmission alternatives, the improvement which comprises a host computer;

• at least one remote terminal;
• means for conveying from the remote terminal to the host computer a total number of sequential plays, and means for reconstructing pseudo-random wager numbers and serial numbers associated with each of the plays at the host computer from the total number of sequential plays, whereby the necessity for spontaneously transmitting each individual wager from the remote terminal to the host computer is eliminated, whereby the total amount of data transmitted and the consequent cost thereof is substantially reduced, and whereby the number of types of economically viable transmission alternatives is enhanced.