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Data-oriented is a new and applied theory which provides methods that models the concepts with data structures. If the concept is modeled by using sufficient data in modeling, the required inferences and calculations can be done fast and less complexity. In this paper a data-oriented model of exponential random variable by using probability tree is introduced. Digits probabilities are calculated by using Ahmad fact. Presented model will be able us to do probability and statistical inferences in efficient and different way by modern computers.