Majority means more than half - that is, the number larger than half the total.  No other meaning of the word majority is applicable in an HOA situation.  Majority does not mean plurality.  A plurality is the number of votes cast for a candidate who receives more than any other.  Board members are typically elected by

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Statutes and Cases:

(For reference: 57-8 is the Condo Act, 57-8a is the Community Association Act, 16-6a is the Nonprofit Act)
HOA resources and laws annotated
HOA resources and laws annotated