XOR Triples FAQ: Binary Columns, Scores and Virtual Coins

Fifteen fair bits and ten column triples

One spin draws fifteen independent fair bits arranged as three rows and five columns. Each column is a three-bit vector. The raw score counts unordered subsets of exactly three different column positions whose bitwise XOR is 000. There are ten such three-column subsets to test.

Each qualifying subset contributes one, even if selected columns have equal values. Column positions must be distinct, but column values need not be distinct. If no subset qualifies the raw score is zero. The computer counts all qualifying subsets; you do not choose a subset by skill. One whole captured stake covers the entire board, without separately paid rows.

Check the bitwise XOR of a triple

If all five columns are 000, all ten three-column subsets have XOR 000 and the raw score is ten. If all five columns are the same nonzero vector, each triple has that same nonzero XOR and the raw score is zero.

For any selected triple, XOR each of its three bit positions separately. A bit position in the result is zero when an even number of its selected bits are one. All three result positions must be zero. This is not an integer sum, equality test, matrix determinant or matrix-rank score. Rank alone does not determine the number of qualifying triples.

Exact 32,768-board means and whole-stake credit

Fifteen independent fair bits give 32,768 equally likely binary boards. Choose Low, Medium or High before spinning. Positive raw scores receive square-root, identity or square weighting respectively; zero remains zero. A score ten therefore has weight square root of ten, ten or 100. These weights are not final multipliers.

For each mode calculate its exact mean weight over all 32,768 boards, including zero scores. Gross credit equals the captured whole stake times0.96 times observed weight divided by that mean. Every mode has 96% exact expected gross virtual return. There is one whole-board return, without separately paid rows or one-third row shares.

The stake was deducted before settlement, so gross credit is not net profit. Modes change positive payout sizes after separate normalisation but preserve the positive-score frequency. Neither 96% nor a qualifying triple guarantees a session outcome or a 96% winning probability. Triple tests can overlap in their selected columns and are not independent events.

Captured rounds 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 spin.

One total stake and mode are captured for the whole board. Settings and refill lock during settlement and an active automatic queue. Auto runs at most ten rounds; Stop prevents future rounds while an already active spin settles. Optional free 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.

Local storage and third-party requests

Browser localStorage keeps the settled virtual balance and fractional-credit carry. Pages request Google Fonts and a Statinside analytics script. Hosting, CDN and third-party requests may expose IP address, browser, device, path and request details. No anonymity, particular retention period, cookie lifetime or complete processing profile is established.

This guide has no registration or identity-document form. That does not mean browsing produces no personal data or that records cannot be linked to someone. Cache clearing alone may leave localStorage intact. Removing site data can erase the wallet without deleting requests or records already held elsewhere. Free refill changes local game state; it is not a data-deletion tool.

Evidence limits for external claims

No outside business, official domain, commercial testing result, licence or safety certification is authenticated by this guide. A name, search result, logo or attractive interface cannot establish affiliation. HTTPS encrypts transport to the selected host without certifying its business.

XOR Triples calculations concern only this simulator. Playing it cannot test an external platform, commercial game, file or transaction. No external payment limits, fees, regulator listing, self-exclusion tool or local availability is established here. This guide supplies no commercial safety verdict or invitation to make a small test deposit.