Eight Complementary Pairs
Complement Pairs Mines uses a four-by-four board with exactly eight hazards. Before starting, choose vertical reflection, horizontal reflection or half-turn pairing. The selected symmetry partitions the sixteen cells into eight pairs. Exactly one member of each pair is hazardous. Each preset has 256 equally likely whole layouts; the hidden layout stays fixed for its round. Opening a safe cell proves its paired partner hazardous and disables that partner. Opening a hazard immediately ends the round with zero return. Every still-unseen pair has conditional safe probability one half. After each safe reveal the CURRENT collectable value therefore doubles, starting from 0.97 times the captured stake. Eight safe reveals reach 248.32 times that stake and automatically collect because no eligible uncertain cell remains. The eight-hazard total is fixed; the preset changes pairing, not hazard count.
The initial gross collection value is 0.97 times the captured stake. For each unopened cell, count the remaining legal layouts compatible with all safe reveals. Its displayed safe probability is the proportion without a hazard in that cell. A safe reveal divides the current collection value by this exact probability. A hazard ends the round with zero return. The displayed percentage is rounded for reading; the payout uses the exact fraction. A proven safe cell has probability one and adds no multiplier. A proven hazard has probability zero and cannot be selected. A choice that would make the collection value exceed 1000 times the captured stake is disabled individually. Other eligible choices remain available. The game collects automatically when no eligible uncertain choice remains. Otherwise, collect after at least one safe reveal or choose another enabled cell. Every permitted stopping policy has exact unrounded expected gross credit of 97% of captured stake. This is not winning frequency or a guaranteed individual or session outcome. Conditional information changes available choices and quotes without raising expected return. The 0.97 factor is included once; settlement does not deduct another three percent.
Current Value and Conditional Probability
The initial gross collection value is 0.97 times the captured stake. For each unopened cell, count the remaining legal layouts compatible with all safe reveals. Its displayed safe probability is the proportion without a hazard in that cell. A safe reveal divides the current collection value by this exact probability. A hazard ends the round with zero return. The displayed percentage is rounded for reading; the payout uses the exact fraction.
Collection and Disabled Choices
A proven safe cell has probability one and adds no multiplier. A proven hazard has probability zero and cannot be selected. A choice that would make the collection value exceed 1000 times the captured stake is disabled individually. Other eligible choices remain available. The game collects automatically when no eligible uncertain choice remains. Otherwise, collect after at least one safe reveal or choose another enabled cell.
Expected Gross Credit
Every permitted stopping policy has exact unrounded expected gross credit of 97% of captured stake. This is not winning frequency or a guaranteed individual or session outcome. Conditional information changes available choices and quotes without raising expected return. The 0.97 factor is included once; settlement does not deduct another three percent.
Saved Wallet and Manual Refill
New local storage starts with 1000 virtual coins. Stakes are 10, 20, 50 or 100, with 20 selected initially. Starting deducts one captured stake. Settings and balance restoration are unavailable during a round. While idle with balance below 10, restoration sets the wallet to exactly 1000; it does not add 1000. Fractional payout carry remains saved across settlements and restoration. Coins 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.
Frequently asked questions
Is an operator verified?
BDKO is a search label, not an operator identity established by this guide. bdko.info is an independent information guide with its own Complement Pairs Mines 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.
What makes a layout legal?
Complement Pairs Mines uses a four-by-four board with exactly eight hazards. Before starting, choose vertical reflection, horizontal reflection or half-turn pairing. The selected symmetry partitions the sixteen cells into eight pairs. Exactly one member of each pair is hazardous. Each preset has 256 equally likely whole layouts; the hidden layout stays fixed for its round. Opening a safe cell proves its paired partner hazardous and disables that partner. Opening a hazard immediately ends the round with zero return. Every still-unseen pair has conditional safe probability one half. After each safe reveal the CURRENT collectable value therefore doubles, starting from 0.97 times the captured stake. Eight safe reveals reach 248.32 times that stake and automatically collect because no eligible uncertain cell remains. The eight-hazard total is fixed; the preset changes pairing, not hazard count.
How does collection value change?
The initial gross collection value is 0.97 times the captured stake. For each unopened cell, count the remaining legal layouts compatible with all safe reveals. Its displayed safe probability is the proportion without a hazard in that cell. A safe reveal divides the current collection value by this exact probability. A hazard ends the round with zero return. The displayed percentage is rounded for reading; the payout uses the exact fraction.
When can I collect and which choices are disabled?
A proven safe cell has probability one and adds no multiplier. A proven hazard has probability zero and cannot be selected. A choice that would make the collection value exceed 1000 times the captured stake is disabled individually. Other eligible choices remain available. The game collects automatically when no eligible uncertain choice remains. Otherwise, collect after at least one safe reveal or choose another enabled cell.
Does 97% guarantee a result?
Every permitted stopping policy has exact unrounded expected gross credit of 97% of captured stake. This is not winning frequency or a guaranteed individual or session outcome. Conditional information changes available choices and quotes without raising expected return. The 0.97 factor is included once; settlement does not deduct another three percent.
Read the original demo rules and virtual-wallet boundaries.
