Wei Seng Phua, 50, a suspected organised crime member, and the others were named in a criminal complaint detailing the scheme to take bets over wi-fi and DSL lines installed by casino employees in their suites at Caesars Palace.
During their court hearing, a judge granted a request for Mr Phua and his son, a co-defendant, to stay with a Las Vegas doctor and poker enthusiast until their next court date on August 4.
Mr Phua, who is said to be worth an estimated £235 million, must post $2m bail, wear a GPS monitoring device and put up his £28m private Gulfstream jet as collateral.
FBI and Nevada Gaming Control Board agents made the arrests on Sunday after raids in three Caesars Palace suites. Agents reported finding a laptop computer logging illegal wagers and other records.
US attorney Daniel Bogden said the Las Vegas operation began shortly after Mr Phua left the Chinese gambling enclave of Macau.