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We consider a Multiple Input Single Output (MISO) system equipped with Lt transmit antennas in spatially uncorrelated Rayleigh fading channels. We consider a sub-optimum Antenna Selection (AS) scheme, wherein all the Lt antennas are divided into two groups with L1 and L2 antennas such that L1+L2 = Lt. Assuming perfect CSI, the best single antenna within each group is selected. For the well known Alamouti transmit diversity, we derive exact closed-form expressions for the pdf of received SNR, probability of outage and SER for MPSK and MQAM constellations.