Technical Note - The Busy Probability in M/G/N Loss Systems

If K + 1 servers in an equilibrium M/G/N-loss system are chosen randomly without replacement and the first K servers chosen are busy, the conditional probability that the K + 1st server chosen is busy is shown to be equal to the a priori probability that a randomly chosen server in an equilibrium M/G/N-K-loss system with the same offered load is busy.