I’m building a new slot game aimed at both casual and advanced players and I need a complete math backbone from the ground up. This includes defining the probability distribution, structuring the payouts, and specifying how the random-number generation must behave to deliver the designed hit-frequency, RTP, and volatility. Because I have no pre-existing specifications, part of your work is to help me articulate them in clear, developer-ready documents. I’ll share theme concepts and desired player experience; from there you’ll translate that vision into numbers, tables, and algorithms that can be implemented by my engineering team. Deliverables • Probability tables for every reel position and payline • Payout structure with RTP, hit rate, and volatility calculations • RNG specification or pseudo-code showing seeding, cycling, and entropy sources • Excel or similar simulator to validate long-run performance and edge • Concise documentation explaining assumptions, formulas, and configurable variables Acceptance criteria • Simulator results must match target RTP and volatility within ±0.2 % over 100 M spins • RNG approach must comply with common gaming lab standards (GLI-11 or equivalent) • All documents provided in an editable format (xlsx, docx, or pdf) If you’ve previously delivered certified slot math or have experience with tools such as MATLAB, R, or Python for Monte Carlo simulations, let me know—those skills will be invaluable for this project.