The copula function offers new opportunities for advanced engineering design and can model
correlated structures between random variables in reliability; in other words the dependence can
describe time varying and nonlinear features of statistical links of marginal distributions. The
paper proposes the study of reliability block diagrams by the analysis of the bridge model with
links like serial-parallel, parallel-serial, based on total probability formula. The proposed
reliability model built by copula functions is a new possible variant for statistical approach in the
quality practice