We analyze a sub-optimum transmit antenna selection (TAS) scheme in multiple input single output (MISO) systems equipped with I transmit antennas. We keep one antenna fixed and select the best among the remaining N - 1 antennas. We assume spatially independent flat fading channel with perfect channel state information (CSI) at receiver and an ideal feedback link. We use Alamouti transmit diversity and derive the closed-form expressions of bit error rate (BER) and outage probability for BPSK constellation. We also compare performance of the sub-optimum scheme with performance of the optimum scheme using BER, outage probability expressions and number of feedback bits.