Electric vehicles (EVs) are replacing conventional gasoline vehicles in the global transportation sector. The rise in penetration of EV load affects the reliability of the distribution systems (DSs). Reliability assessment is vital for designing DSs that operate economically and lessen customer load disruptions. It is important to achieve acceptable reliability regardless of the source, whether it is a distributed system, an electric utility system, or any other type. The integration of EVs and renewable resources (RRs) such as solar energy are significant feature of modern power system networks. The integration of solar energy acts as a backup option by supporting the power supply to the existing DS and improving the system’s reliability. Various reliability indices (RIs) can measure the duration and frequency of customer disruptions over an exact time. The main aim is to achieve consumer satisfaction, which needs proper planning. This paper confers a comprehensive study of different RIs and their importance in the power system. The reliability analysis is accomplished on an IEEE-33 bus radial DS after integrating EV load and solar energy source by applying teaching–learning-based optimization.