Independent query guide · virtual-coin demo

About this independent PH 1 guide

This independent guide discusses the unverified PH 1 query and provides its own original Concordance Pair virtual-coin demo. No reviewed primary source here identifies an outside operator, licence, official service or affiliation. The demo does not certify an outside product.

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Guide scope and original demo

The guide explains its own browser demo and the limits of evidence about the PH 1 query. Concordance Pair is an original coordinate-scoring game, not a verified reproduction of an outside casino product.

The game generates six independent uniform values from the range 0 to 12. These values are treated as coordinates for three labelled points:

  • The first three readings serve as X coordinates.
  • The last three readings serve as Y coordinates.

The raw score is calculated by counting unordered point pairs where both coordinate differences have the same nonzero sign. If coordinates are tied, they contribute zero to the score.

Players select one ticket before spinning:

  • Lower: Covers the first floor(number of distinct attainable scores / 2) scores.
  • Upper: Covers the remaining scores.
  • Even: Covers even integer scores.

Tickets can overlap. A matching result returns a gross payout calculated as 0.96 × captured stake × total support / number of winning ordered outcomes. A miss returns zero.

Lower covers raw scores 0 and 1; Upper covers 2 and 3; Even covers 0 and 2. Only the selected ticket is paid, even when ticket conditions overlap.

Exact Math Evidence and Probabilities

Exact probabilities are obtained by enumerating all 13^6 = 4,826,809 ordered readings. Separately, each ticket was sampled for 1,000,000 rounds. Note that measured RTP is a sample observation and not a promised return.

TicketExact Probability (Num/Denom)Exact gross RTP (ratio)Measured RTPWinning Draws
0 (Lower)2,782,585 / 4,826,8090.9696.17%577,506
1 (Upper)2,044,224 / 4,826,8090.9696.04%423,689
2 (Even)2,746,081 / 4,826,8090.9696.03%569,072

One whole stake covers all independent readings. The gross payout for a win is 0.96 × captured whole stake × total support / number of winning ordered outcomes.

Controls, Modes, and Settlement

  • Settlement Time: 480 ms from the first animation frame in normal motion; reduced motion settles on the first frame.
  • Locking: Stake, ticket selection, and refill options are locked throughout active settlement and any auto-queue period. Sound remains available.
  • Auto Mode: Schedules at most ten draws. The Stop function cancels future draws, but active draws finish their settlement.
  • No Early Bank: There is no early cashout: Stop cancels future draws without refunding or settling the current draw early.

Wallet and Persistence Rules

The demo wallet operates with specific persistence rules:

  • Initial Balance: 1000 virtual coins.
  • Refill: When fully idle and balance is below 10, manual refill sets the balance to exactly 1000. Fractional carry is preserved during this set.
  • Fractional Carry: Persists across settlement, refill, and reload.
  • Settled Balance: Persists locally, including zero balances.
  • Reload: Discards unfinished draws without refund or resume.

Worked Examples

Examples checked against the demo scoring function:

  • Input: [0, 0, 0, 0, 0, 0] → Raw Score: 0
  • Input: [12, 12, 12, 12, 12, 12] → Raw Score: 0
  • Input: [0, 1, 2, 3, 4, 5] → Raw Score: 3

Privacy and Identity Notes

Identity: This demo is independent. No operator identity, licence, or verified app is assumed. PH 1 is an unverified query; Concordance Pair is this guide’s own original demo.

Storage: The template uses browser localStorage for settled demo balance and fractional carry. This does not establish anonymity or exclude other processing.

Third Parties: The template declares Google Fonts, and the publication builder declares the external Statinside counter.js script and fallback pixel with identifier 44. These declarations are not a complete network audit and do not establish provider retention or processing practices.

Audience: This guide targets an 18+ audience policy, not a claim about local law or an implemented age gate.

Frequently asked questions

Does the demo have a login or payment system?

No. The demo has no account login flow and no payment flow. Virtual coins have no cash value and cannot be deposited or withdrawn.

What happens if I reload the page during an auto-draw?

Reload discards unfinished draws without refund or resume. Settled balances persist locally.

Is the measured RTP guaranteed?

No. The measured RTP (e.g., 96.17%) is a supporting sample observation from 1,000,000 rounds, not the exact mathematical law. The exact gross RTP is 0.96.