BetHKDWaterwheel Counting House
18+ · free demo · virtual coins

BETHKD — Simulator Rules

Twelve independent fair left/right steps start at signed position zero. Include origin zero in the running maximum. Raw score is the largest decline from any earlier running peak to a later position. No decline scores zero. Endpoint, reversal count and overall path span do not define payment.

Play the free demo

These are this guide's original rules. Visual resemblance, game-category names and search snippets provide no evidence about an external commercial game.

The actual simulator rules

Twelve independent fair left/right steps start at signed position zero. Include origin zero in the running maximum. Raw score is the largest decline from any earlier running peak to a later position. No decline scores zero. Endpoint, reversal count and overall path span do not define payment.

These are this guide's original rules. Visual resemblance, game-category names and search snippets provide no evidence about an external commercial game.

Worked scoring examples

Twelve right steps score0. Twelve left steps score12 because origin0 is the earlier maximum. Six right then six left score6.

Exact weighted expected gross return

Enumerate4096 equally likely twelve-step paths. Low, Medium and High use weight √s, s and s². Gross credit is one whole captured stake ×0.96×weight / exact mean weight. All modes have exact96% expected gross return including the stake. Zero scores pay zero; modes do not change positive-score probability. No row shares or mid-path payments apply.

Captured settings and local wallet

A new wallet starts with1000 virtual coins. Choose10,20,50 or100 per ball. Launch deducts one full stake and captures stake and mode. Up to six balls may be active. Future control changes leave active settings intact. Settled balance and fractional-credit carry persist in localStorage. Auto10 queues ten balls; Stop cancels future launches. Refill locks while any launch or queue remains active. While idle below10, optional refill sets balance to1000 and preserves carry. Reload does not replenish settled funds; refill is not automatic.

Stop future launches without chasing results

Stop cancels future automatic launches while active results settle under their captured settings. Closing the page ends participation. A virtual result creates no obligation to recover an earlier wallet balance.

Increasing stake scales debit and possible credit without raising expected return per coin. Mode changes do not raise positive-score frequency for a fixed probability condition. Choose a stopping time independently of the last result.

Frequently asked questions

How does the actual simulator rules work?

Twelve independent fair left/right steps start at signed position zero. Include origin zero in the running maximum. Raw score is the largest decline from any earlier running peak to a later position. No decline scores zero. Endpoint, reversal count and overall path span do not define payment. These are this guide's original rules. Visual resemblance, game-category names and search snippets provide no evidence about an external commercial game.

How does worked scoring examples work?

Twelve right steps score0. Twelve left steps score12 because origin0 is the earlier maximum. Six right then six left score6.

How does exact weighted expected gross return work?

Enumerate4096 equally likely twelve-step paths. Low, Medium and High use weight √s, s and s². Gross credit is one whole captured stake ×0.96×weight / exact mean weight. All modes have exact96% expected gross return including the stake. Zero scores pay zero; modes do not change positive-score probability. No row shares or mid-path payments apply.

How does captured settings and local wallet work?

A new wallet starts with1000 virtual coins. Choose10,20,50 or100 per ball. Launch deducts one full stake and captures stake and mode. Up to six balls may be active. Future control changes leave active settings intact. Settled balance and fractional-credit carry persist in localStorage. Auto10 queues ten balls; Stop cancels future launches. Refill locks while any launch or queue remains active. While idle below10, optional refill sets balance to1000 and preserves carry. Reload does not replenish settled funds; refill is not automatic.

How does stop future launches without chasing results work?

Stop cancels future automatic launches while active results settle under their captured settings. Closing the page ends participation. A virtual result creates no obligation to recover an earlier wallet balance. Increasing stake scales debit and possible credit without raising expected return per coin. Mode changes do not raise positive-score frequency for a fixed probability condition. Choose a stopping time independently of the last result.