Title forecasts from Monte Carlo simulations

Latest forecast snapshot per active event. Tennis (ATP) and wta (women's tennis): each player carries p_title (share of 20,000 simulated tournaments won) and p_reach per round. NBA: each team carries p_champion (share of 10,000 simulated seasons won) and p_reach per stage (play-in, playoffs, conference semifinals/finals, finals, champion), plus a predicted playoff bracket with per-series win probabilities and series-score distributions (4-0 … 4-3). EuroLeague: each club carries p_champion (share of 10,000 simulated seasons won) and p_reach per stage (play-in, playoffs, final_four, finals, champion), plus the predicted bracket — Play-In, best-of-5 quarterfinals (3-0 … 3-2) and the neutral-site Final Four. Football: one forecast per domestic league across 12 leagues — 5 top flights (Serie A, Premier League, La Liga, Bundesliga, Ligue 1) and 7 second divisions (Championship, League One, League Two, Segunda División, Ligue 2, 2. Bundesliga, Serie B) — each club carries p_champion, expected final points/position (expected_points, mean_rank) and p_reach per TABLE BAND (top flights: champions_league, europa_league, relegation, plus relegation_playoff where the league has the slot; second divisions: auto_promotion, playoff_win, promoted, relegation, barrage_up/down where the format has them). Band sizes in structure (integer bands) and structure_detail (second-division seed/format layout). Football seasons are sampled as full scorelines, so draws and goal difference are modelled; there is no bracket — the final league table IS the outcome. Champions League: one forecast per season — each club carries p_champion, expected league-phase points/position (expected_points, mean_rank, both CONDITIONAL on reaching the league phase) and p_reach per stage on the fixed Swiss ladder (playoff, top8, r16, quarter, semi, final, champion). playoff means reached the knockout play-off round OR BETTER — a top-24 league-phase finish, so it includes the clubs that finish top 8 and skip it, and playoff >= r16 always; top8 is the separate direct-entry branch and is a subset of r16. Read mode and provisional before the numbers: on a pre_draw board (July/August, before UEFA's draw) the FIELD ITSELF is simulated, so teams covers the whole entrant universe — confirmed clubs plus clubs still playing qualifying, split by entrant_status and priced with p_league_phase — and is larger than 36; on a fixtures board it is the 36 drawn clubs with played matches pinned. Forecasts refresh on every prediction run: completed games are locked in and the remainder is re-simulated, so probabilities sharpen continuously. Snapshots older than days are considered archived and excluded.