The Carolina Poll, an annual telephone survey sponsored by the University's School of Journalism and Mass Communication, recently asked the opinion of 567 adults in the Triangle.
The results indicate that 70 percent of respondents are supportive of a lottery if revenue is used for education.
But Chapel Hill Mayor Kevin Foy said he opposes the lottery because it will not alleviate the budget problems of the N.C. education system.
"I think the lottery is a scam," he said. "I don't think it raises the money that it promises -- it's just a way of generating profits for the gaming industry."
Mark Kleinschmidt, a Chapel Hill Town Council member, said he thinks people are supportive of a lottery because they have not heard the argument against it.
"I think the pro-lottery lobby has done a great job of keeping information from the people," he said.
Kleinschmidt also said a lottery will disproportionately affect people on low or fixed incomes who have less money to spend on gambling.
The idea also is unpopular among Triangle representatives in the N.C. legislature. Sen. Ellie Kinnaird and Rep. Joe Hackney, both D-Orange, have stated their opposition to a state-sponsored lottery.
"It appears to be one of those situations where the public officials don't really respond to what the public tells them," said UNC journalism Professor Bob Stevenson, the director of the Carolina Poll.