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Lag-Two Path Rules: Twelve Bounces and Exact Credit

This page explains the independent Lag-Two Correlation browser simulator. Its calculations establish no external operator, commercial affiliation, account or payment service.

Twelve fair directions and ten lag-two products

One drop samples twelve independent fair directions, each minus one or plus one. Label them d0 through d11. Raw score is the absolute value of the sum of d_i times d_(i-2) for i from two through eleven: ten lag-two products.

Each product compares a direction with the direction two bounces earlier, rather than its immediate predecessor. Take absolute value after completing the sum. The raw score is an even integer from zero through ten. It is not the final landing position, an edge-slot prize, adjacent reversal count or sum of absolute products. One captured stake covers the whole twelve-bounce path and its terminal return.

Compare identical, alternating and opposite products

Twelve identical directions have ten positive lag-two products and score ten. Alternating directions also have equal directions two positions apart, so score ten. Repeating plus,plus,minus,minus gives ten negative lag-two products and also scores ten because absolute value is applied to the completed sum.

A balanced mixture of five positive and five negative lag-two products scores zero. The final landing position alone cannot determine this reward. Paths with the same endpoint can have different lag-two scores. There is no intermediate cashout or second stake during a drop.

Exact4,096-path means for powers one, two and three

Choose power one, two or three before the drop. The weight is raw score raised to that selected power; zero remains zero. These choices are identity, square and cube, not square-root, identity and square. There are4,096 equally likely twelve-direction paths.

Exact mean weights over all4,096 paths are2.4609375 for power one,10 for power two and49.21875 for power three. Gross credit equals the captured stake times0.96 times observed weight divided by the corresponding exact mean. All three powers have 96% exact expected gross virtual return.

The stake was deducted before settlement, so gross credit is not net profit. Powers change positive credits after separate normalisation but preserve the positive-score frequency. The 96% expectation guarantees neither a session balance nor a 96% winning probability. The absolute correlation score has a positive mean even though the signed lag-two sum has mean zero.

One active ball and the persisted wallet

A new browser wallet starts with 1,000 free virtual coins. Settled balance and fractional-credit carry persist in localStorage. Reload does not replenish settled funds. Fractional returns accumulate before whole coins are credited rather than being discarded each drop.

Available stakes are10,20,50 and100. Only one ball can be active. Stake, power, start and refill lock during the active drop; there is no automatic queue or Stop control. The complete twelve-bounce path settles at its end. Optional manual refill is available only while idle with balance below ten. It sets balance to 1,000 and preserves fractional carry. Coins cannot be bought, transferred, redeemed or withdrawn.

Scope of this independent guide

11lab.info is an independent query-information guide with its own Lag-Two Correlation browser simulator. A matching name, query or domain authenticates no gaming operator, official app, licence, commercial game catalogue or external account service.

The simulator has original path-correlation rules and free virtual coins. Its results do not test a separate business or commercial game. This guide offers no deposits, withdrawals or cash prizes.

Adult use and a chosen stopping time

The site rule limits this guide and simulator to adults aged 18 or older. That rule establishes no regional gambling age or commercial service eligibility. Choose a stopping time outside the game and leave when it arrives.

Free virtual losses do not need recovery; refill can remain unused. If play displaces other activities or causes distress, pause and seek qualified local support. No diagnostic threshold, treatment promise or authenticated local helpline is supplied here.

Frequently asked questions

Does this guide represent a casino operator?

No. It supplies its own path simulator and authenticates no outside commercial affiliation.

What are the random inputs?

Twelve independent fair directions, each minus one or plus one.

What does the raw score measure?

Absolute value of the completed sum of ten products d_i times d_(i-2), for zero-based indices two through eleven.

Inspect the home-page Lag-Two Correlation simulator using free virtual coins. Leave at your chosen stopping time.

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