The paper deals with the serendipity emerging in projects. Serendipity means an unexpected and fortunate discovery. It happens mainly into projects thanks to the open mind behavior of stakeholders. Though two significant examples of project, the authors point out the moment where serendipity burst out. The authors are managing projects for twenty years and collaborating since over fifteen years. They are sharing, discussing and improving their own experience. After definition and some famous example of serendipity in centuries, two significant examples are proposed to the reader. They are concerned with students in second grade course in an Institute of Technology where projects are taking more and more time and space in their syllabus. The first subject deals with a concept car and the second talks about the regula falsi concept. The authors had recently the opportunity to propose a survey about serendipity to a group of a hundred of teachers-researchers. The results and comments end the paper.