"Private Property", what does this mean to the public?

What is the true meaning to Chuchill Downs, Inc term "Private Property" - they can take your money and crook but if they don't like your shirt your wearing, they can kick you off their property. According to President of Gulfstream Park, Tim Ritvo - they are very proud of this, which was orchestrated by Kenny Noe via the Supreme Court, was the ex President of Calder, a CDI shareholder and from 1994 -2000 he was the President of NYRA.