This study investigates the performance of the hybrid free space optical/radio frequency (FSO/RF) communication system based on the selective combination technology under the conditions of the Málaga turbulent channel and the Nakagami-m fading channel. Considering the pointing errors, we deduce the expressions of the average bit error rate and the outage probability of the hybrid FSO/RF system that adopts the subcarrier modulation and intensity modulation direct detection scheme. Their closed-form solutions are then obtained using the Meijer G function and the extended generalized bivariate Meijer G function. The bit error rate and the outage probability performances of the hybrid FSO/RF and only-FSO systems are investigated under different subcarrier modulation schemes, turbulence intensities, pointing errors, and RF channel fading parameters. The simulation results show that compared with the only-FSO system, the hybrid FSO/RF communication system can effectively improve the communication system performance.