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In cellular networks, the call dropping probability (CDP) is a very important connection-level QoS parameter. It represents the probability that a call is dropped due to a handoff failure. The goal of almost all admission control schemes is to limit the CDP to some target value while maintaining higher bandwidth utilization or lower blocking rates for new calls in the system. Another related parameter is the handoff dropping probability (HDP). It represents the probability of a handoff failure due to insufficient available resources in the target cell. Most local admission control schemes try to limit the HDP to some target maximum and assume that this limits the CDP too. In this paper, we show that even if the HDP is controlled to be below a maximum value in every cell in the network, the CDP experienced by the users is not controlled, independently from the admission control scheme used to control the HDP.