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Wireless Sensor Networks consist of tiny sensors which have limitations such as energy. These networks are utilized in a variety of applications which aids in boosting the network lifetime hence great amount of researches have been devoted to them. One of the major problems to reach this aim is to focus on routing for utilizing balanced and optimum energy consumption in sensor networks. In this paper we have presented an energy-aware routing protocol namely MABRP which endeavors to select a path to transmit the data to the sink node thus balanced and optimal energy consumption in node is achieved and in so doing it gets help from multi-armed bandit problem. To assess its efficiency, the proposed protocol has been simulated using ns2 simulator and the results obtained have been compared to that of two important routing protocols namely EAR and PGR.