Answer: Depends on what you mean by “majority” by the way keep in mind that “Ancient Greece” wasn’t just one entity, it was a collection of city states.
Explanation: there was a form of majority rule in Ancient Greece, particularly in their democratic city-states like Athens. In their system of direct democracy, eligible citizens could participate in decision-making by voting on various issues and laws. But take note of the fact that I said “eligible”… using Athens as an example, only men were allowed to vote, specifically land owning men. So yes while Athens may be credited with being the first full fledged democracy, they were by no means representative of all their citizens.