Within the Croatian primary school education, more space should be given to probability and statistics as they are unjustly neglected. In fact, it is the branch of mathematics with whose results students encounter every day through the media and which they will continue to encounter in whatever direction they focus their further education. This thesis describes and follows the great NOK's idea, supported and elaborated in CKR, where probability and statistics are introduced from the first grade. The informal conceptual approach in the thesis uses various examples and activities to bring basic statistical methods, such as collecting, processing, and analysis of data, as well as the abstract concept of the probability of random events, closer to students. These activities encourage students to learn out of curiosity and based on experience. The implementation of real statistical research in class facilitates the apprehension of statistical concepts and clarifies the purposes of graphs and their analysis. Also, although the probability "a posteriori" is left for higher education, here we use experiments to determine probabilities, with the purpose of comparing it with the theoretical probability.