How Scoring and Probabilities Work
The 4×4 board hides a fixed number of hazards. The layout is sampled uniformly from the published constraint support and remains fixed for the round. Cells are row-major 1–16.
- Gross Value: Starts at 0.97 times stake. It becomes the current value divided by the cell's safe probability.
- Proven Cells: Known-safe cells leave value unchanged; proven hazards are disabled.
- Live Quote: Calculated as 0.97 times the original support count divided by the surviving support count.
After the first safe pick, you may collect. A choice with a prospective quote above 1,000× is blocked without changing state. If no uncertain cell remains after a safe pick, settlement is automatic.
Settlement and Stopping Rules
Collection is only possible after at least one safe reveal. Automatic settlement occurs only when no eligible uncertain move remains.
- Hazard Hit: Returns zero.
- Auto-Settlement: Triggers when no uncertain picks are left after a safe reveal.
- Blocking: Prospective quotes above 1,000× block selection but do not alter state.
Virtual Wallet and Balance Restoration
The demo starts with a balance of 1,000 virtual coins.
- Restoration: If the idle balance drops below 10, a manual reset sets the balance to exactly 1,000, preserving any fractional change.
- Fractional Carry: Persists through settlement, manual refill, and reload.
- Unfinished Reload: An unfinished round ends without refund or resume upon reload.
Settings and refill are locked while active.
Mathematical Evidence and RTP
Exact expected values are distinct from measured estimates. The following table shows the exact expected RTP versus measured simulation results for different hazard counts and depths.
| Depth | Hazards | Exact RTP | Measured % |
|---|---|---|---|
| 1 | 3 | 97.00000000000017% | 96.974125% |
| 2 | 3 | 97.00000000000036% | 96.96693% |
| 3 | 3 | 97.00000000000041% | 96.91192% |
| 1 | 4 | 96.99999999999986% | 97.05408% |
| 2 | 4 | 96.99999999999996% | 96.893985% |
| 3 | 4 | 96.99999999999991% | 96.989045% |
| 1 | 5 | 96.99999999999999% | 97.108895% |
| 2 | 5 | 97.00000000000000% | 96.920585% |
| 3 | 5 | 97.00000000000000% | 97.248705% |
Controls and Modes
Stake options are limited to whole coins: 10, 20, 50, or 100. Settings and refill remain locked during active play. Sound controls remain available. The queen hazard graph joins equal rows, equal columns, or chess diagonals, having exactly one connected component of size three and all other components of size one.
Privacy and Storage
The game source uses localStorage for settled balance and fractional carry. This does not establish anonymity or exclude other processing. The template declares a Google Fonts stylesheet; actual full-site network capture remains pending. There is no account login flow or payment flow in this demo.
Frequently asked questions
How is the gross value of a safe cell calculated?
The gross value starts at 0.97 times the stake. For subsequent safe picks, it becomes the current value divided by that specific cell's safe probability.
What happens if I hit a hazard?
A hazard returns zero. You cannot collect after a hazard hit; collection is only available after at least one safe reveal.
When does automatic settlement occur?
Settlement is automatic only when no eligible uncertain move remains after a safe pick.
Can I resume an unfinished round if I reload the page?
No. An unfinished round ends without refund or resume upon reload.
How do I restore my balance if it gets low?
If your idle balance is below 10, you can manually restore it. This sets the balance to exactly 1,000, preserving any fractional change.
Does the fractional part of my balance carry over?
Yes, fractional carry persists through settlement, manual refill, and reload.
What are the valid stake amounts?
The demo supports whole stakes of 10, 20, 50, and 100 virtual coins.
Is the hazard layout redrawn every time?
No. One complete 4×4 hazard layout is sampled uniformly from the published constraint support of the selected count and stays fixed for the round.
What is the expected gross return?
Every revealed-information strategy has a 97% expected gross return in the fair support model. This is not a win probability.
Why are some prospects blocked?
Individual prospective values above 1,000 times the original stake are disabled to prevent specific high-value selections.
Does the demo track my personal data?
localStorage is used for balance and carry. This does not establish anonymity or exclude other processing. No account or payment controls are present.
Are the measured percentages exact?
No. Simulation measurements are supporting sample observations. The exact expected values are distinct from measured estimates and display-rounded multipliers.
