Independent Query Guide
65A is a search label, not an operator identity established by this guide. play65a.com is an independent information guide with its own Bezout Balance Roulette demo. No company, licence, official account domain, commercial game catalogue, payment service, app publisher or support contact is verified here. Search position, a similar name and page appearance cannot establish those facts.
Extended Euclidean Coefficient Balance
Bezout Balance Roulette draws two independent uniform readings from0 through12 and adds one to each, giving A and B. Run the extended Euclidean algorithm without reordering: initial remainders A,B and coefficient rows(1,0),(0,1). At each step q=floor(oldR/r); update the remainders and subtract q times the current coefficient row from the old row. At termination take the coefficient row of the final nonzero remainder. The score is the sum of the absolute values of its two coefficients. The algorithmic coefficients are used, not an independently optimised Bezout solution. All169 ordered reading pairs are equally likely.
Ticket one covers scores1,2,3 and121 of169 ordered pairs. Ticket two covers4,5,6 and28 pairs. Ticket three covers7,8,9,11 and20 pairs. Score10 is unattainable. These partition distinct attainable score ranks, with unequal hit probabilities. Gross multipliers are exactly162.24/121,162.24/28 and162.24/20; displayed decimals are rounded. The selected ticket is chosen before either reading. Starting captures and deducts one stake and locks ticket, stake and restoration until settlement. The first reading cannot settle or provide collection. After both readings, a hit credits captured stake multiplied by the gross band multiplier, including the original stake already; a miss credits zero. Do not divide again by probability or add the stake again. There is no interim collection or additional charge.
Three Exact Score Bands
Ticket one covers scores1,2,3 and121 of169 ordered pairs. Ticket two covers4,5,6 and28 pairs. Ticket three covers7,8,9,11 and20 pairs. Score10 is unattainable. These partition distinct attainable score ranks, with unequal hit probabilities. Gross multipliers are exactly162.24/121,162.24/28 and162.24/20; displayed decimals are rounded. The selected ticket is chosen before either reading.
Uniform Pocket Sampling
Each pocket is sampled uniformly from thirteen choices using uint32 rejection. Random values in the incomplete top range are discarded and replaced, so the pocket probabilities are equal. The outcome law is the finite set of 169 ordered pairs. Observing a short session cannot verify uniformity or establish the fairness of another product.
Virtual Wallet and Restoration
A new local wallet starts with 1000 virtual coins. Stakes are 10, 20, 50 or 100, initially 20. One round deducts one captured stake. Settings and restoration lock during the two reveals. While idle below 10 coins, restoration sets the wallet to exactly 1000, rather than adding 1000. Saved fractional payout carry remains. The counters have no cash value, prize or withdrawal route.
The settled wallet, including a zero balance, and fractional payout carry persist in this browser’s localStorage. Reloading ends an unfinished round without refund or continuation. A different browser, device or cleared site storage can have different saved counters. Clearing cached files alone may leave localStorage intact. The local wallet is not an operator account or synchronised financial balance.
Technical Requests and Data Limits
Page loading requests Google Fonts and the Statinside analytics script. Hosting, CDN and third-party requests may disclose IP addresses, device details and request information to receiving systems. This guide does not establish anonymity, retention periods, absence of profiling or a data-sale policy for those systems. The demo has no registration, payment or identity-document form. Local wallet storage and network processing are separate.
Frequently asked questions
Is an operator verified?
65A is a search label, not an operator identity established by this guide. play65a.com is an independent information guide with its own Bezout Balance Roulette demo. No company, licence, official account domain, commercial game catalogue, payment service, app publisher or support contact is verified here. Search position, a similar name and page appearance cannot establish those facts.
How is the score calculated?
Bezout Balance Roulette draws two independent uniform readings from0 through12 and adds one to each, giving A and B. Run the extended Euclidean algorithm without reordering: initial remainders A,B and coefficient rows(1,0),(0,1). At each step q=floor(oldR/r); update the remainders and subtract q times the current coefficient row from the old row. At termination take the coefficient row of the final nonzero remainder. The score is the sum of the absolute values of its two coefficients. The algorithmic coefficients are used, not an independently optimised Bezout solution. All169 ordered reading pairs are equally likely.
Which scores does each ticket contain?
Ticket one covers scores1,2,3 and121 of169 ordered pairs. Ticket two covers4,5,6 and28 pairs. Ticket three covers7,8,9,11 and20 pairs. Score10 is unattainable. These partition distinct attainable score ranks, with unequal hit probabilities. Gross multipliers are exactly162.24/121,162.24/28 and162.24/20; displayed decimals are rounded. The selected ticket is chosen before either reading.
When is a round paid?
Starting captures and deducts one stake and locks ticket, stake and restoration until settlement. The first reading cannot settle or provide collection. After both readings, a hit credits captured stake multiplied by the gross band multiplier, including the original stake already; a miss credits zero. Do not divide again by probability or add the stake again. There is no interim collection or additional charge.
Read the original simulator rules and virtual-wallet boundaries.
