How Majority Transient Works
Majority Transient uses a complete word of twelve independent fair bits. Its raw score is calculated by repeatedly updating all twelve circular positions simultaneously to the majority of each position and its two neighbours, stopping when a complete state repeats. The score is the number of distinct visited states minus one. This scoring calculation is separate from the visible sequence that reveals the original word one bit at a time.
Live quote and automatic settlement
For the chosen power p (1, 2 or 3), the live gross quote equals 0.96 × captured stake × E[S^p given the revealed prefix] / E[S^p], where S is the terminal raw score. The exact means are 1.4013671875, 2.6787109375 and 6.4287109375. All remaining words are averaged exactly. Manual banking is available while active; the selected cap of 4, 8 or 12 reveals banks automatically, and zero conditional potential ends the round earlier. The expected gross return before integer settlement is 96%, not a guaranteed session return.
Payout and Settlement Logic
For each chosen power p, quote = 0.96 × captured stake × E[S^p given the revealed prefix] / E[S^p]. The score is raised to the chosen power before its conditional average is calculated. At settlement, fractional carry is added to the gross quote, the integer part is credited, and the new fraction is retained. The 96% expected gross return is before this integer settlement and does not guarantee a session result.
Wallet and Balance Behavior
The wallet starts with 1,000 virtual coins. While no round is active and the balance is below 10, the restore button sets it to exactly 1,000; restoration is manual. Settled balance, including zero, and fractional carry persist in browser localStorage. Reloading an unfinished round loses the captured stake and does not resume or refund the round.
Mathematical Evidence and Simulation
Simulation measurements support the mathematical model but are not the law itself. Below are observed measured RTPs from 1,000,000 rounds per mode, compared to the exact 96% gross RTP.
| Mode | Auto Cap | Exact Gross RTP | Measured RTP (%) |
|---|---|---|---|
| 0 | 4 | 0.96 | 96.0105 |
| 0 | 8 | 0.96 | 95.9040 |
| 0 | 12 | 0.96 | 96.0416 |
| 1 | 4 | 0.96 | 95.9392 |
| 1 | 8 | 0.96 | 95.8883 |
| 1 | 12 | 0.96 | 95.9489 |
| 2 | 4 | 0.96 | 96.0161 |
| 2 | 8 | 0.96 | 96.0900 |
| 2 | 12 | 0.96 | 95.8294 |
Privacy and Data Storage
The game source uses localStorage for the settled demo balance and fractional carry. The template declares a Google Fonts stylesheet. Browser request capture remains pending at this editorial stage. Local storage and the absence of account or payment forms do not establish anonymity or rule out other processing, network requests, cookies or server logs. Clearing cached files is different from deleting this site’s stored data.
Frequently asked questions
What happens if the conditional potential drops to zero?
If the conditional potential drops to zero, the game settles the current quote to zero immediately. This can happen even if you have not reached your auto-bank cap. The round ends, and the captured stake is settled at zero.
How is the score calculated?
The score is the number of distinct states visited minus one. Both fixed points and periodic states are allowed as end states. The final payout applies a power (1, 2, or 3) to this raw score before calculating the gross quote.
Can I resume a round after reloading the page?
No. If you reload the page during an unfinished trace, the round ends without refunding the captured debit. The balance updates, but the specific round state is lost.
How does the idle refill work?
If your balance is below 10 while you are idle, you can manually refill. This sets the balance to exactly 1000 and preserves the fractional carry from previous rounds.
Are the bits fair and independent?
Yes. Twelve independent fair bits are revealed in order. All unrevealed completions are averaged exactly to determine the conditional expected value.
What is the difference between manual and auto-bank?
Manual bank allows you to settle at any time during the live round. Auto-bank sets a cap (4, 8, or 12) where the game automatically settles when that many bits are revealed, or earlier if the value hits zero.
Does the game guarantee a 96% return?
The expected gross return under supported stopping policies is 96%. This is an exact mathematical expectation, not a guarantee of net profit for any single session or user.
What happens to fractional carry?
Fractional carry persists across settlement, refill, and reload. It is preserved when you refill your balance or when a round settles.
Can I change my stake or power mid-round?
No. Captured stake, power, and auto-cap are locked until the round settles. You cannot change these settings while the trace is active.
Is there a limit to how many rounds I can play?
There is no hard limit on the number of rounds. You can play continuously as long as you have sufficient balance or choose to refill when it drops below 10.
What are the exact means for each power?
The exact unconditional means are: Power 1 = 1.4013671875, Power 2 = 2.6787109375, and Power 3 = 6.4287109375.
Is this demo linked to an external casino?
No. This is an independent guide's demo. It does not certify or reproduce any outside product. There is no account login, cashier, or external payment method linked to this virtual wallet.
