# Foresight
*System · In development*

Canonical page: https://gamemathemagics.com/#/s-02

> Exact probabilities for compound boolean events over absorbing Markov chains, plus full session economics, derived from a payout distribution alone.
Runs live at: https://gamemathemagics.com/apps/foresight/index.html?v=e5081829

Point it at a game’s payout distribution and it reconstructs the experience that distribution produces, and how that experience drives time-on-device. Operators can judge slot-floor performance before they buy the cabinet.

### The question it answers
What fraction of players starting at 35× reach a feature paying between 5× and 10×, stay inside a bankroll range, then finish above 100×? Simulation answers that slowly and approximately. Foresight answers it exactly, in hundreds of milliseconds, at production-scale state spaces.

Underneath: absorbing Markov chains and discrete convolution for the trajectory math, plus a boolean event engine for arbitrary compound queries. Full session economics come out alongside: coin-in, handle, house edge, expected cash out.