This chapter provides a comprehensive examination of the synergistic relationship between serverless computing and event-driven architectures (EDA) in fostering agile software development within the evolving landscape of distributed computing. It begins by defining the core principles of serverless computing, including its "no server management" paradigm, pay-for-value billing, automatic scalability, and inherent fault tolerance. Subsequently, it delves into the foundational concepts of EDA, outlining its components, messaging models, and architectural topologies. The chapter then explores how the convergence of these two paradigms significantly accelerates development cycles, reduces operational overhead, enhances developer productivity, and enables dynamic scalability and cost efficiency, particularly within microservices and CI/CD frameworks. Real-world applications across various domains, from web backends to IoT, are highlighted to illustrate their practical impact. Finally, the report addresses critical challenges such as cold starts, vendor lock-in, debugging complexities, and security in a shared responsibility model, while also forecasting future directions, including AI-driven orchestration, serverless at the edge, and hybrid cloud strategies. This analysis aims to offer a rigorous academic perspective on how serverless EDA empowers organizations to navigate the complexities of modern distributed systems.