Are Casinos Cheating With Loaded Dice?

Quote: Bohemian

As for New Jersey, they effectively lost their Gaming Enforcement division so even if they have dice laws on the books, who says they are being enforced?!

As your cite makes clear, the DGE continues to exist and function. Maybe the Casino Control Commission was confused with the division. Perhaps examples of a lack of enforcement can be compiled:
The Division of Gaming Enforcement was established in 1977 under the Casino Control Act, N.J.S.A. 5:12-1 et seq. to ensure the integrity of the casino gaming industry in the State of New Jersey. Its mission is to protect the public interest by maintaining a legitimate and viable industry, free from the influences of organized crime, and assuring the honesty, good character and integrity of casino owners, operators, employees and vendors. The Division performs this mission through enforcement of the Casino Control Act and the regulations promulgated thereunder which mandate a strictly regulated and economically sound industry. Oversight by the Division includes investigations, inspection, audit and criminal and regulatory prosecution.
Our Duties
License Applicant Investigations: Casino licenses are mandatory for corporate and individual owners, managers, employees, and service industries. The Division conducts investigations of all license applicants and reports to the Casino Control Commission (CCC) on its findings. The CCC has the authority to grant or deny a license at a public hearing. Licenses are granted only to individuals or entities that meet the fitness criteria of good character, honesty and integrity.
Regulatory Enforcement: The Regulatory Enforcement and Regulatory Prosecutions Bureaus are responsible for enforcing the laws of the Casino Control Act (the Act) and the CCC Rules and Regulations (Regulations) including: accounting and internal controls, rules of the games, gaming equipment, regulations of the Division of Alcoholic Beverage Control, simulcasting, advertising, on and off site storage facilities, underage gambling and drinking, exclusion list violations, casino employee noncompliance, patron complaints, equal employment opportunity/affirmative action (EEO/AA) complaints, information systems integrity, security and CCTV surveillance and other matters related to the daily operation of the casino. The Bureaus investigate and prosecute violations of the Act and Regulations.
Monitoring Casino Operations: DGE state investigators monitor day-to-day casino operations on site and around the clock to assure regulatory compliance and investigate violations. In addition to addressing regulatory concerns, the unique criminal law enforcement concerns of casinos are handled by New Jersey State Police assigned to the DGE and prosecuted by the Division of Criminal Justice's Casino Prosecutions Bureau.
Slot Laboratory - Technical Services Bureau: (TSB) assures the integrity of electronic gaming equipment, including all slot machine operations, within the State of New Jersey. TSB is responsible for the enforcement of all laws and regulations governing electronic gaming equipment according to the Casino Control Act and the Rules and Regulations promulgated thereunder. The responsibilities of TSB include, but are not limited to: testing and evaluating electronic gaming equipment, testing and evaluating manufacturer prototype equipment, analyzing and verifying slot machine jackpot payouts to casino patrons, verifying operational integrity, inspecting casinos, and assuring the security and proper accounting of slot machines and electronic equipment within the jurisdiction of the State of New Jersey. TSB engineers test and approve all electronic games before they can be used in Atlantic City casinos, and TSB statisticians evaluate the odds, payout and fairness of all new games. Gaming Equipment Specialists inspect electronic gaming equipment once it is approved for play and for the entire time it is used or stored in New Jersey.

Quote: RaleighCraps

Why does a casino put 5 dice on the craps table, mix them all up, and then make the shooter grab only 2?

Many shooters ask for the same die when it goes off the table, so speeding up the game is negligible. In fact, I would argue that making every shooter pick 2 of the 5 dice is actually slower, since some people take a long time to decide.
In addition, have you ever tried to get the same 2 dice that the previous shooter was throwing? They won't let you. In fact, they will usually mix them even more, and I have had boxmen put their hands over the whole pile of dice while they mixed them. Why?

My opinion is the casinos do fear that a pair of dice may have a bias to them, albeit unintentional. By forcing you to pick 2 of 5 dice, the casino is ensuring randomness, even if the dice are not completely unbiased.

If every dice was unbalanced in the same way, it would become obvious to the players, and could be exploited with the correct betting play.
However, what if each die in the 5 dice set was unbalanced to different numbers? It would be impossible, as a player, to take advantage of this type of unbalance. Every 2 dice combination would have a skew towards a different number, and by the time you figured it out, a 7 out would have occurred and a 'new' pair of dice have been selected for the next roll.

The question I have for the math experts (most of whom are probably not looking at this thread) follows;

This is purely a mental exercise. I don't want to discuss why a casino would even entertain cheating. I just want to understand, from a mathematical perspective, would it be possible to gain an edge.

Are there any combinations of dice weighting that would end up in the casino's favor. For instance, assume the shooter grabbed two dice that both had an unbalance in favor of the 6. The DP players push on the Come Outs, the PL players lose, so overall the casino is favored. Of course, if that was the known case, the player would just play the 12, which would hurt the casino, even with the high HE of that bet.
However, the player would have to be able to recognize that the 6s were showing up more than reasonable, and start betting the 12, BEFORE the 7 out initiates a new dice combination. Until that recognition occurred, wouldn't the casino have a slight advantage with that particular dice combination?


Given we have 5 dice to choose from (A,B,C,D,E) how many different pair combinations are possible? I think I am correct with 10.
AB, AC, AD, AE, BC, BD, BE, CD, CE, DE

Assume the "A" is biased toward the 6, and the "B" is biased toward the 1.

When a shooter grabbed this combination, there is going to be a higher number of 7s thrown. The PL players will win more Come Out rolls, but are probably not going to win the point. The DP players are going to lose on the Come Outs, but are likely to win their Don't Point. However, I would think this combination of dice would still be in the casino favor, since there are generally way more PL players than DP players, and the PL odds bets will all lose. Again, once the players become aware of this bias, they would all switch to the DP, but given a new combination of dice is put in play after the 7 out, there would not be a chance to capitalize from this bias.

So, is there a bias that could be applied to each die in a 5 dice set, in a way that would benefit the casino?

im glad im not the only one who thinks this, and i dont even play craps, but i believe this based off of the images i have recently posted from the HC Evans Catalog