Bankroll, Kelly sizing, and variance discipline remain central

Educational coverage continues to emphasize fixed units, line shopping, detailed records, CLV, and preparation for long losing streaks. Vig comparisons highlight the cost of props, parlays, and futures and the importance of reduced-juice shopping, but a promoted price-drop tool still cites only one 1.90 price versus a 1.44 close without independently verified results; uncertain probabilities and model error justify fractional-Kelly sizing and simulation.