We use considerable numerical analysis in science in order to compute the outcome of equations that cannot be evaluated by exact and ordinary methods like calculus for instance. Therefore, numerical methods were developed to give an approximate outcome of the exact result. Consequently, the differences between the estimated answer and the exact answer will lead to errors. Moreover, the numerical methods adopted determine the magnitude of these errors. Additionally, these numerical methods are dependent on the number of subintervals and iterations taken into account. Furthermore, with respect to deterministic chaos, these discrepancies between the approximate and the exact outcomes in the deterministic methods considered can lead to deterministic chaos although the numerical methods adopted are totally deterministic and completely nonrandom. Hence, we apply in this situation my novel ‘Complex Probability Paradigm (CPP)’ which determines and evaluates the degrees and probabilities of divergence and convergence in the numerical methods as functions of the number of iterations. Thus, we join here numerical analysis and hence chaos theory to CPP which will be adopted accordingly to prove additionally the convergence of these potential chaotic processes in a novel way by using the law of large numbers. As a central and decisive consequence, we will show that chaos vanishes totally and absolutely in the probability universe C = R + M of my CPP.

**Author(s) Details:**

** Abdo Abou Jaoudé, **

Department of Mathematics and Statistics, Faculty of Natural and Applied Sciences, Notre Dame University-Louaize, Lebanon.