Intense competitive sports place comprehensive demands on athletes’ physical fitness. This paper proposes an integrated research framework based on probability statistics and experimental analysis, leveraging the positive impact of combining flexibility and strength training on athletes’ performance. Using Bayesian statistical methods, the prior and posterior probabilities of the experimental data from the training intervention are calculated, the training model is dynamically updated, and the athletes’ training programs are tailored to enhance their performance. The study revealed that after the experiment, the two groups of athletes showed significant differences in eight basic functional movements at the 0.01 level, with the experimental group outperforming the control group by an average of more than 4 points. Before and after the experiment, the experimental group athletes showed significant improvements in two dimensions: physical fitness tests and technical performance tests. Additionally, the blood lactate concentration of athletes decreased by 3-6 mmol/L during high-intensity training.
