Innovative development of music education model in universities under stochastic process model analysis

Based on the analysis of random phenomena, random variables, and random processes, this paper constructs a Markov chain-based model for evaluating the effectiveness of music teaching using Markov chains. Aiming at the core literacy of college music education, a new education model is proposed to cultivate students’ comprehensive music literacy and transform the method of college music education. Traditional evaluation methods and the Markov chain model are used to analyze data examples for the new model of music education. The probability of transferring the number of students whose first score was on the 89.9-80 scale to the 100-90 scale was 0.5115, greater than the probability value of 0.3650 for those still on the 89.9-80 scale. The transfer matrix of the experimental class was shifted to the left as a whole, indicating a high degree of student progress.