This paper studies secure consensus control for leader-following multi-agent systems (MASs) facing random hybrid denial-of-service (DoS) attacks and an event-triggered strategy (ETS). Unlike previous work, it categorizes communication topologies into cases with and without spanning trees, considering more realistic scenarios. Topologies with spanning trees under weak DoS attacks are modeled as a semi-Markovian jump process with an uncertain transition matrix, while those without spanning trees under strong attacks are treated as separate modes. Using the integral mean value theorem, sampling time delay is incorporated into the Lyapunov-Krasovskii functional (LKF). Sufficient conditions for secure consensus are derived via Lyapunov stability theory, and a corollary addresses partial spanning tree cases. A simulation example validates the methods.