Expected Loss Across Mixed Wagers

2026-10-22T18:37:21Z

035969324677 : Page créée avec « Expected loss across mixed wagers Expected loss across mixed wagers is the sum of the expected losses of each wager type in a session. Expected values add even when outcomes are correlated, which is what makes it possible to price a main bet and its optional side bets as independent line items. Say a session puts $400 on a wager with a 1% edge and $100 on one with an 8% edge. Expected losses: $4 and $8. Combined, $12 on $500 of turnover, a turno... »

Expected loss across mixed wagers Expected loss across mixed wagers is the sum of the expected losses of each wager type in a session. Expected values add even when outcomes are correlated, which is what makes it possible to price a main bet and its optional side bets as independent line items. Say a session puts $400 on a wager with a 1% edge and $100 on one with an 8% edge. Expected losses: $4 and $8. Combined, $12 on $500 of turnover, a turnover-weighted edge of 2.4%. The weighting matters. Averaging 1% and 8% arithmetically gives 4.5%, nearly double the true figure, because it ignores that four fifths of the money went to the cheaper bet. Every calculation of [https://casinohouseedge.com/ expected loss in casino games] multiplies each percentage by the amount actually staked on it, and the same applies when stakes change from one round to the next. What the $12 does not describe is risk. Correlated bets and rare large payouts can stretch the distribution of outcomes enormously while the expected losses still add neatly. Reading a session's risk takes more than one weighted percentage.

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2026-10-22T18:37:16Z

035969324677 : Page créée avec « Doubling and splitting exposure Two blackjack decisions put extra money on the table after the first bet has been placed. Which hands qualify, and on what terms, varies from one rule card to the next. Doubling adds a second stake, usually equal to the first, in exchange for exactly one more card. Splitting turns an eligible pair into two hands, each backed by a bet equal to the original. Some tables restrict doubling to totals of 9, 10 and... »

Doubling and splitting exposure Two blackjack decisions put extra money on the table after the first bet has been placed. Which hands qualify, and on what terms, varies from one rule card to the next. Doubling adds a second stake, usually equal to the first, in exchange for exactly one more card. Splitting turns an eligible pair into two hands, each backed by a bet equal to the original. Some tables restrict doubling to totals of 9, 10 and 11, or forbid doubling after a split; others allow both freely. An option cannot hurt a player who may decline it, provided nothing else changes. The gain comes from using it only where it raises expected return; doubling every hand that allows it is a worse strategy. There is an accounting trap in the percentages. Most published edges use the original bet as their base while folding the results of doubles and splits into the numerator (see [https://casinohouseedge.com/blackjack-house-edge/ [https://casinohouseedge.com/blackjack-house-edge/ https://casinohouseedge.com/blackjack-house-edge/]]), so multiplying such a figure by a total that already counts the extra units double-counts the exposure. Exposure is the second effect. A correct double on 11 against a 6 improves the average result, yet it puts twice the money at risk on that hand, so the spread of outcomes widens too.

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Expected Loss Across Mixed Wagers

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