<s>[INST] Professor Thompson is a sports psychologist for a professional team. He is designing an analytic automation system to aid the team in selecting the best players for the team to compete against a given opponent. The system will rely on the analysis of the players as well as their match-up against any given opponent. The kinds of analysis that the system will perform include trend analysis, statistical analysis, and game theory analysis. The system will also be able to aid the team in determining the probability of winning based on player selection, past performance, and opponent strengths/weaknesses. 

Which modern machine learning algorithms and tools would you suggest for this professor to create the automated system?[/INST]