GREENCALC JOURNAL

Zero Pockets and Expected Loss Under Standard Payout Rules

The extra pockets change the denominator For the standard bet types whose coverage and gross winning multiplier multiply to 36, a 37-pocket.

Single-zero and double-zero conceptual wheel models with neutral counters.
Zero Pockets and Expected Loss Under Standard Payout Rules — conceptual editorial illustration.

Single-zero and double-zero conceptual wheel models with neutral counters. Original AI-generated artwork produced for GreenCalc; not a measured diagram or empirical data display.

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The extra pockets change the denominator

For the standard bet types whose coverage and gross winning multiplier multiply to 36, a 37-pocket equal-likelihood wheel has expected loss fraction 1/37, approximately 2.7027%. A 38-pocket wheel has fraction 2/38, approximately 5.2632%. These values follow from the standard payout rules, not from the amount of the hypothetical stake.

Check an even-money example

An even-money bet covers eighteen pockets and returns net profit equal to the stake if successful. On the 37-pocket model, expected net per unit is 18/37−19/37 = −1/37. On the 38-pocket model, it is 18/38−20/38 = −2/38. The zero pockets are included among the unsuccessful outcomes under these ordinary rules.

Recognize the five-number basket exception

The modeled 38-pocket five-number basket pays 6:1 profit, so its gross multiplier is seven. Coverage times gross multiplier is 5×7 = 35, giving expected loss fraction 1−35/38 = 3/38, about 7.8947%. It does not share the 2/38 fraction of the other standard modeled bets.

Do not extend the result to unentered rules

The Roulette Payout Calculator rejects that basket option on the 37-pocket setting and states its standard-rule scope. Special zero treatment would require another payoff table. Read profit versus gross return before checking the arithmetic. Expected loss is a model average, not a prediction of a particular play or a recommendation to wager.

Check the model behind your result

Use the Roulette Payout Calculator for the supported calculation and review its stated assumptions before interpreting the output. Find related tools in the Statistics category, or browse the GreenCalc homepage for other calculation topics.

By GreenCalc Editorial Team · Updated 2026-10-26

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