https://apbff.com APBFF — Advantage Player’s Best Friend Forever. A field guide to casino games, sports betting, fantasy, pools and the decisions behind advantage play. en-US https://apbff.com/articles/a-betting-opportunity-has-three-clocks/ https://apbff.com/articles/a-betting-opportunity-has-three-clocks/ Wed, 09 Sep 2026 00:00:00 +0000 Information arrival, action deadlines and reusable funds impose different timing constraints. Equal modeled returns can require different decision flexibility and capital commitment. https://apbff.com/articles/how-catch-the-ace-odds-actually-work/ https://apbff.com/articles/how-catch-the-ace-odds-actually-work/ Wed, 09 Sep 2026 00:00:00 +0000 Catch the Ace combines a ticket draw with a conditional envelope draw. Ticket sales, unopened envelopes and prize amounts jointly determine a ticket’s odds and expected cash return. https://apbff.com/articles/how-to-value-a-calcutta-bid-when-your-bid-changes-the-prize/ https://apbff.com/articles/how-to-value-a-calcutta-bid-when-your-bid-changes-the-prize/ Wed, 09 Sep 2026 00:00:00 +0000 A Calcutta bid can increase the prize pool it purchases a share of. The break-even bid depends on that contribution, the expected payout fraction and additional costs. https://apbff.com/articles/same-projection-different-dfs-lineup-value/ https://apbff.com/articles/same-projection-different-dfs-lineup-value/ Wed, 09 Sep 2026 00:00:00 +0000 Two DFS lineups with equal expected points can have different expected prizes. A complete example shows how covariance and the opposing score change which lineup is worth more. https://apbff.com/articles/the-crowd-changes-what-winning-is-worth/ https://apbff.com/articles/the-crowd-changes-what-winning-is-worth/ Wed, 09 Sep 2026 00:00:00 +0000 In shared-prize contests, success probability and payout size are linked through the other winners. DFS ties, lottery jackpots and survivor pools require different sharing models. https://apbff.com/articles/the-scoreboard-is-not-the-state-of-the-game/ https://apbff.com/articles/the-scoreboard-is-not-the-state-of-the-game/ Wed, 09 Sep 2026 00:00:00 +0000 A visible score omits information that can change the next legal action or its outcome. Baseball, survivor pools and disclosed game features show why decision state depends on the question. https://apbff.com/articles/what-a-baseball-park-factor-actually-tells-you/ https://apbff.com/articles/what-a-baseball-park-factor-actually-tells-you/ Wed, 09 Sep 2026 00:00:00 +0000 A baseball park factor compares event frequencies within a defined method. Its baseline, event type and comparison population determine what the index means. https://apbff.com/articles/why-a-survivor-pool-needs-a-plan-beyond-the-next-pick/ https://apbff.com/articles/why-a-survivor-pool-needs-a-plan-beyond-the-next-pick/ Wed, 09 Sep 2026 00:00:00 +0000 A one-use survivor pick consumes a future option. A complete two-round example separates next-pick survival, full-path survival and expected prize sharing. https://apbff.com/articles/why-an-obscure-contest-can-still-be-hard-to-beat/ https://apbff.com/articles/why-an-obscure-contest-can-still-be-hard-to-beat/ Wed, 09 Sep 2026 00:00:00 +0000 Low visibility does not identify weak opposition. Qualification, the actual entrant population and participation costs determine what a smaller contest is worth to a particular player. https://apbff.com/articles/why-winning-more-often-can-still-lose-money/ https://apbff.com/articles/why-winning-more-often-can-still-lose-money/ Wed, 09 Sep 2026 00:00:00 +0000 Win rate counts successful outcomes. Expected value accounts for payout size and costs, which explains why a wager that wins more frequently can still lose money.