Review of Prefix Binary Modulus Plinko

Identity and guide scope

rp555 is the query name used by this independent guide. No outside company, licence, official address, app, customer reviews or payment service is established by that name. The game is this guide’s own original demo, rather than certification or reproduction of an outside product. Play coins have no cash value and cannot be withdrawn or exchanged for money or prizes.

Twelve directions and the score

Prefix Binary Modulus Plinko samples twelve independent, equally likely left or right steps, giving 4,096 equally likely complete paths. Position starts at zero; left decreases it by one and right increases it by one. The game chooses directions; the player does not. Read left as bit zero and right as bit one. Start v at zero. At each step update v to 2×v+bit, take its remainder on division by seven, and add that remainder to the score. The score is the sum of twelve individual remainders, not the remainder of the sum of all prefix values. The exact minimum over all paths is zero, so subtracting it leaves the score unchanged. Before dropping the ball, choose Linear, Square or Cube. For score s the weight is s, s² or s³. Exact weight sums over all 4,096 paths are 126,981, 4,411,635 and 166,481,745. Divide each sum by 4,096 to get its mode’s mean weight. The gross multiplier is 0.96×the path’s weight÷the mode’s mean weight. Gross return is the captured stake times that multiplier. Score zero returns zero in all three modes. The final ball position alone does not determine the payout.

Exact expectation and measurements

Exact expected gross return is 96% in each reward mode because the multiplier is normalized by that weight’s exact mean over all 4,096 paths. Independent all-path checks and one million simulated rounds in each of the three modes support this calculation. Measurements are sample estimates, not payout rules or guaranteed session returns. The expectation concerns raw gross before whole-coin settlement with carry and excludes rounds abandoned on reload.

A worked path example

Consider a path going right once, then left eleven times. Prefix values are 1, 2, 4, 8 and so on up to 2,048. Their individual remainders on division by seven repeat 1, 2, 4 four times. The score is 28, rather than the remainder of the total prefix sum. In Linear mode the gross multiplier is approximately 0.867063. Stake 20 gives approximately 17.341253 gross coins. Without earlier carry, settlement credits 17 whole coins and stores approximately 0.341253. This is gross return, not profit: the stake was already deducted.

Stake and controls

Choose a stake of 10, 20, 50 or 100 play coins; the default is 20. The initial reward mode is Linear. Dropping the ball immediately captures and deducts one stake. Stake, mode, restore and another ball are locked during movement. Sound may be toggled. There is no interim collection or control to choose the ball’s directions. Settlement follows all twelve steps. Without an existing saved balance, the wallet begins at 1,000 play coins. While idle with fewer than 10 coins, Restore balance sets the total to exactly 1,000. It does not add another 1,000 or happen automatically. Settlement adds raw gross return to stored fractional carry, credits only the whole-coin part and stores the new fraction. Zero-return rounds preserve previous carry. Restoring balance does not erase carry. Balance, including zero, and fractional carry are saved in this browser’s localStorage. Reloading during a round leaves the captured stake deducted and ends the unfinished round without payout, refund or resumption. Reload restores stake 20 and Linear mode. Ball progress is not saved for later continuation. Clearing cached files alone is distinct from removing this site’s localStorage.

Fonts, counter and data

The game saves balance and fractional carry in localStorage. The site loads Google Fonts stylesheets and font files and includes Statinside counter ID 44. These observations do not establish all data collection, recipients or retention periods. Absence of an account or payment form does not establish anonymity or absence of personal-data processing. This guide targets adults aged 18 and older. That label is not an implemented age check or a statement of local legality. Choose personal time and coin limits and take breaks between completed rounds. The interface has no enforced timer, account blocking or self-exclusion tool. If stopping is difficult, stop using the demo and seek appropriate qualified local help.

Frequently asked questions