Final answer:
California is the state likely to have the most significant economic inequality between reservations with and without casinos due to its high wealth inequality, diverse population, and legal contests surrounding tribal casinos.
Step-by-step explanation:
The state in the US with the greatest economic inequality between reservations with and without casinos is likely to be California. The complex interplay of lucrative industries, large urban populations, and ethnic diversity contributes to California's high Gini coefficient, a measure of wealth inequality. Furthermore, the legal battles and state compacts in California regarding casino operation have historically reflected the tension between casino income and economic outcomes for tribes. While casino revenues have benefited many tribes, the disparities remain significant, particularly where reservations cannot generate substantial income due to their remote locations. This situation contrasts sharply with states like Maine, which are more rural and homogeneous, and to some extent, less impacted by such disparities between reservations with and without casinos.