Simulation of physics phenomena is an indispensable part of experimental studies. Undergraduate and postgraduate physics students are often introduced to the simulation of various phenomena as one of the most important pedagogical tools. In this document, we demonstrate the simulations of the two-body decay of a particle and equilibrium states in the radioactive series using C++ programming language. Introducing these exercises into the physics curriculum will help students gain exposure to the basic functionality of Monte-Carlo event generators by simulating particle production followed by its decay and the qualitative idea of the radioactivity equilibrium conditions.