Final answer:
Arizona (B) passed a bill banning ethnic studies programs in public schools in 2010.
Step-by-step explanation:
The state that passed a bill banning ethnic studies programs in public schools in 2010 is Arizona (B). In 2010, Arizona passed a law that prohibited the teaching of classes that promoted resentment of other races or encouraged ethnic solidarity. This law specifically targeted a popular Mexican American studies program taught in Tucson. The program focused on teaching Mexican American history and literature to improve academic performance among Latino students. However, public school superintendent Tom Horne argued that the program encouraged resentment of White people and the U.S. government, leading to the ban.