Final answer:
The three types of African-based religions in the Caribbean are Voodoo, Santeria, and Candomblé, representing a synthesis of African spiritual traditions with influences from other religious practices.
Step-by-step explanation:
The three types of African-based religions in the Caribbean are Voodoo, Santeria, and Candomblé. These religions reflect the rich cultural heritage that survived the trans-Atlantic slave trade and colonialism, and continue to influence the spiritual lives of people in the Caribbean. Voodoo, often associated with Haiti, incorporates elements of African traditional beliefs and French Catholicism. Santeria, primarily found in Cuba, is characterized by the syncretism of Yoruba religion from West Africa with Catholic practices, while Candomblé, which originated in Brazil, blends elements from a variety of African religions.