Toward a deeper understanding of the availability of series-systems without aging during repairs

It is shown in detail that the steady-state availability of a series-system with no aging of components during the repair of another one can be interpreted as a conditional probability of the well-known s-independent case conditioned on allowing for at most one failed component at any time. Trivially, this conditional probability is larger than the standard probability, viz. the product of all components' probabilities. Yet it can be shown that also without this new interpretation of the formula for the availability of a series-system without aging during repairs it is exceptionally easy to prove the fact that by no aging during repairs, the availability of series-systems increases; a most plausible result.