Carter, 24, was arrested late Saturday at the Texas Station casino in North Las Vegas. Security officials reported he was videotaped adding a $5 chip to three bets after the dice already rolled, according to a police report. Carter denied wrongdoing when police arrived.
Carter faces three counts of committing a fraudulent act in a gaming establishment, a felony in Nevada that carries a possible sentence of one to six years in prison and a $10,000 fine. He provided a North Las Vegas address when he was booked at the Clark County jail in Las Vegas and released with a Monday court date.
A message left at the North Las Vegas home wasn't immediately returned.
Carter also faces a warrant charging him with failure to complete counseling after pleading guilty in a 2011 misdemeanor marijuana possession case, according to court records.
Carter posted a message on his Twitter account saying he was "truly sorry for any negative attention this has brought to the Broncos, our fans and the league." He said he was confident he will be cleared.
It wasn't clear if Carter posted bail or if he had a lawyer.
Carter, who attended Cheyenne High School in North Las Vegas, was an All-American at the University of Oklahoma and was drafted in the fourth round in 2011 by the Broncos.
He started at free safety his rookie year in 2011, but injured a knee last summer and missed most of the 2012 season.
Copyright 2013 by The Associated Press