This thesis examines the lottery as a potential investment, with an emphasis on number selection strategies. The goal was to analyze strategies such as choosing the most frequently, least frequently drawn numbers and random combinations using Monte Carlo simulations, and compare them with the actual results from 2023. 104 numbers drawn in the EuroJackpot game were analyzed, where no strategy brought a profit. This confirmed the random nature of the lottery and laid the foundation for further analysis related to the Gamblers Fallacy. This concept is particularly significant because it suggests that players believe that previous outcomes can influence future outcomes, often leading to erroneous conclusions when choosing numbers. The work showed that this perception is neither profitable nor sustainable in the long term. By contrast, exceptional examples like Jerry and Marge Selbee, who discovered a mathematical irregularity in the lottery and used it to win multiples, are the exception to the rule. Their case proves that "winning" the lottery is not impossible, but it is extremely rare and depends on specific conditions. In conclusion, simulations and analysis of real numbers from the year 2023 showed that no number selection strategy brought profit. The lottery cannot therefore be considered a profitable investment option. The paper proposes additional research on a larger sample, in order to gain a deeper understanding of the mathematical and psychological aspects of games of chance, and especially the research of different lottery formats and payment combinations.