A sueueing model is developed and analyzed to evaluate the performance of a local and a remote destination of one multicast connection subject to a simple two-level(binary) feedback-based adaptive rate control scheme. The reate control scheme is a simple extension of the one for point-to-point case. Individual cell loss probabilities at the local and remote destinations are obtained to study the fairness of the adaptive rate control scheme. Numerical results show that this simple adaptive rate control scheme, which is fair when it is applied to a multicast connection consisting of destinations with equal propagation delays, bears bias against remote destination.