Definition
A computational technique that uses repeated random sampling to obtain numerical results and predict the probability of different outcomes.
Detailed Explanation
Monte Carlo simulation is a mathematical method that generates random samples to solve problems that might be deterministic in principle. It relies on repeated random sampling and statistical analysis to compute results making it particularly useful for optimization numerical integration and generating draws from complex probability distributions. The method combines probability theory statistics and computational algorithms to evaluate risk and uncertainty in quantitative analysis and decision making.
Use Cases
Risk assessment in financial investments particle physics simulations optimization of manufacturing processes drug discovery and molecular modeling and reliability engineering in complex systems.