This study is concerned with the reliability analysis of a cantilever of a laminated thin composite pipe subjected to tensile, bending and torsional loadings. The reliability is evaluated by modeling the pipe as a series system consisting of each ply failure based on Tsai-Wu criterion. Additionally, the pipe is considered as in failure when the tip displacement is larger than an allowable limit. The mode reliability is obtained by the first order reliability method, where material properties and applied loads are treated as random variables. The system rebiability is approximated by Ditlevsen's bound. Through numerical calculation, the change of the reliability in terms of ply orientation angle is illustrated. Then, the variation of the shear strength is shown to have a large effect on the reliability. Finally, it is shown that a reliability-based optimum ply orientation angle with the elastic failure mode is much different from the optimum angle without the elastic failure mode.