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Betting & Odds

We explain the arithmetic behind a published price and reproduce no sportsbook line: this site takes no wagers.

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A hand holding a fanned-out stack of US banknotes.
Price arithmetic starts with what a stake has to return to break even.

Photo: DigiGal DZiner, CC BY-SA 4.0 · source file

Odds, lines and the arithmetic behind them, written for readers in the United States. Rules differ state by state; nothing here is a recommendation to place a wager, and nothing on this site is licensed to accept one.

What this section is for is reading a number correctly. A price in American format converts to a decimal and to an implied probability by arithmetic that never changes, and the conversion table on this page is that arithmetic, computed here rather than copied from a sportsbook: decimal is one plus the stake multiple, implied probability is 100 divided by the decimal. Everything downstream — why a run line looks unlike a point spread, why a basketball total moves with pace rather than with scoring talent, why a football line changes between one Sunday and the next — follows from that.

Sources are named on every page and they are all public: league rule books, official injury reports and published statistical glossaries. Where a figure cannot be traced to one of those, it is not printed. The age limit for sports wagering in the United States is 21+ and availability is decided state by state. If gambling stops being entertainment, the National Problem Gambling Helpline is 1-800-GAMBLER — free, confidential and open around the clock.

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Price conversion

Price conversion
AmericanDecimalImpliedStake to win $1
-3001.3375.0%3.00
-2501.4071.4%2.50
-2001.5066.7%2.00
-1501.6760.0%1.50
-1301.7756.5%1.30
-1101.9152.4%1.10
+1002.0050.0%1.00
+1102.1047.6%0.91
+1302.3043.5%0.77
+1502.5040.0%0.67
+2003.0033.3%0.50
+2503.5028.6%0.40
+3004.0025.0%0.33
+4005.0020.0%0.25

Arithmetic, not a quoted price: decimal = 1 + stake multiple, implied probability = 100 / decimal. No sportsbook line is reproduced on this site.