go to Religious Tolerance.org
They believe in many gods.
They have many, many gods.
Buddhism does not focus on belief in a singular God or multiple Gods. Instead, it emphasizes principles such as the Four Noble Truths and the Eightfold Path to achieve enlightenment and liberation from suffering. Buddhism's teachings revolve around the concept of karma, rebirth, and the path to end the cycle of suffering (samsara).
"A God"? No. Shinto means "Way of the gods", but the gods are things thought of as spirits that deserve the honor of being called divine, like rocks, trees, rivers, animals, places and people. Anything with a big 'Wow' factor is godly. The main idea of Shinto is sincerety and compliance with the ancient beliefs and ways of the prehistoric Japanese.
As with any country with so many religions it depends on the person you ask. Many people believe in many gods, many believe in none and many believe in the Western Gods.
Some believe in certain gods, some believe in other gods, some believe in no gods, some believe in all the gods.
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