Changing the center of gravity on a die alters the probabilities of landing on each face due to differences in leverage during rolls. The exact mathematical formulas for these new probabilities are complex and not universally known. The impact of the center of gravity's position is crucial, as it can significantly influence which faces are more likely to settle face up. Additionally, rolling techniques may also affect outcomes, suggesting that the method of rolling could be optimized for desired results. Understanding these dynamics can provide insights into the behavior of unfair dice.