Bouchard's Inequality is a mathematical concept that provides a way to estimate the relationship between the expected value of a function and the function of the expected value. Specifically, it states that for any non-negative random variables, the expected value of their product is less than or equal to the product of their expected values. This inequality is useful in probability theory and statistics. The inequality is named after the mathematician Jean Bouchard, who contributed to the field of probability. Bouchard's Inequality helps in various applications, including risk assessment and decision-making, by providing bounds on expected outcomes.