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The Internet is used by more and more people for personal and business related communication. This paper presents an integrated scheme for playing lottery on the Internet, which includes purchase of tickets, generation of winning number, and claiming of prize. Fairness between the customer and the service provider is maintained at the stages of purchasing tickets and claiming prize. The customer's identity is kept anonymous to the service provider. The sum of sold tickets and the sum of winning tickets are publicly verifiable. The winning number is generated randomly but verifiably. These features will increase the customer's trust in the Internet lottery service.