In this section, research aim, problems and hypothesis with the methods and determined research results will be presented. This correlational design research that has been run on a sample of N=54 students in Croatia will be described. The main findings regarding the relationship between personality traits extraversion and evoked brain potentials will be presented. Personality traits that were explored are: extraversion, neuroticism, psychoticism, social desirability, addiction, criminality, empathy, impulsivity, adventurousness, strength of excitation, strength of inhibition, mobility, and depression. Latencies and amplitudes in two trials were investigated for the following evoked brain potentials: N1, P2, N2, P3, and Slow wave activity. Visual oddball paradigm was used for evoking brain activity measured on two occipital and two parietal electrodes. Results on controlled variables, such as: age, sight characteristics, coffee drinking, smoking, taking medications, alcohol and drug consumption, and body exercise, are introduced as well. The correlation analyses revealed a significant relationship between personality traits and evoked brain potentials, especially trait adventurousness and social desirability, due to a too simple and monotonous visual task that was use. The determined findings from the PCA factor analysis with Varimax rotation determined 15 factors that explained 79,611% of the total variance. Series of Hierarchical regression analyses for each personality trait individually revealed, as it was expected, certain visual evoked potentials as significant predictors.