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This paper analyzes the outage probability of the downlink distributed antenna system (DAS) with selective transmission (ST) scheme and maximum ratio combining (MRC) over shadowed Rayleigh fading channels. Firstly, the probability density function (PDF) is derived for the output signal to noise ratio (SNR) after MRC at the receiver. Then, under the ST scheme, an approximate analytical expression of outage probability is derived for the downlink ST-MRC DAS over the shadowed Rayleigh fading channels. Simulation results show that the derived analytical expression can evaluate the realistic system performance quite accurately.