Decimal, Fractional and Moneyline Odds
One price, three costumes. What each format actually says, how to convert between them in seconds, and the implied-probability math that shows where the margin is hiding.
What a price is, in plain terms
An odds price encodes two things at once: what you are paid if your selection wins, and how likely the market believes that selection is. The payout part is format-dependent — decimal, fractional or moneyline each print the number differently — but the information underneath is identical. Learn to read one format and the other two become translations, not new subjects.
Every Australian bookmaker defaults to decimal odds, so we start there. A decimal price of 3.10 on a $10 stake means a total return of $31 — your $10 stake plus $21 of profit. The calculation never changes: stake times price equals total return, profit is the remainder. If the price moves before your bet is accepted, the operator's terms decide which number stands, so it is worth confirming the price on the acceptance screen.
Fractional odds, the racecourse language
Fractional odds print the profit for every $1 staked. 4/1 means $4 of profit on a $1 stake — a $10 bet returns $50 in all. The favourite is quoted in the other direction: 1/2 means a $10 stake wins only $5 of profit, returning $15. Because fractions speak of profit, not total return, converting to decimal is adding one: profit fraction plus 1. So 4/1 becomes 5.00, 1/2 becomes 1.50, and 5/2 becomes 3.50. Rugby and horse racing coverage in Australia still quotes fractional lines, so the conversion is a working skill, not a curiosity.
Moneyline odds, the American accent
Moneyline (or American) odds drop in from US sports broadcasts with a plus and a minus sign. A plus price states the profit on a $100 stake: +150 means $150 of profit on $100, which is 2.50 in decimal. A minus price states the stake required to profit $100: -200 means you must stake $200 to make that $100 of profit, which is 1.50 in decimal. The two conversion shortcuts: plus prices divide by 100 and add 1 ((150 ÷ 100) + 1 = 2.50); minus prices add 100 to the stake ((200 + 100) ÷ 200 = 1.50). Once you can do those two operations, an American broadcast stops being a foreign language.
The implied probability under the hood
Every price carries a hidden number: the probability implied by dividing 1 by the decimal price. At 2.00 the market is pricing a 50% chance; at 4.00 it is pricing 25%; at 1.25 it is pricing 80%. Read every price on the screen as its implied probability and you can see the market's actual view of a match, without any guesswork about which side is "expected" to win.
Now the part most guides skip. Add the implied probabilities of all outcomes in a market and you will never get exactly 100%. A three-way football market typically totals 103% to 108%, and that surplus is the operator's margin — the vig — built into every price before a stake is placed. A market with a 3% margin pays slightly less than a market with an 8% margin on the exact same result, so comparing the margin, not just the price, is how you get the fairer deal on the same bet.
Worked example, one match three ways
Take a mid-table derby priced at home 1.95, draw 3.60, away 4.20. The implied probabilities are 51.3%, 27.8% and 23.8%, which sum to 102.9% — a 2.9% margin, lean by football standards. A $20 stake on the home side at 1.95 returns $39 if they win; the same $20 on the away side at 4.20 would return $84. The shorter price is not "safer" — it is priced as more likely, and it pays proportionally less. What the maths makes visible is that the favourite's win has to happen a lot more often to earn the same money, which is the whole relationship between price and risk in one sentence.
A useful rule of thumb follows from the same calculation: if a price implies 80%, a selection at that price loses about five times for every win it has. Over a long enough run, that is what a price "feels" like. It also means no system of stakes, patterns or "value" tips changes the arithmetic — the margin is collected whether or not you enjoy the matches.
Where the margin actually sits
The margin is not spread evenly. It is tightest on the most liquid markets — the 1X2 line on a big football fixture — because the bookmaker's risk is balanced by the volume of stakes on both sides. It stretches on less liquid ones: player markets, correct score, specials, and in-play prices immediately after a goal or a red card, when the operator is absorbing the risk on one side. If a market is offering long odds with a wide gap between its price and the next alternative, the width of that gap is usually the cost of the excitement.
Practically, this changes two habits. First, prefer the sharper market on the same event — the 1X2 line over the same team's correct-score odds — when your question can be asked simply. Second, when comparing bookmakers on the same fixture, compare the implied-probability sums as well as the headline price: the site with the leaner margin is the site paying you more on every identical bet. Terms, eligibility and territorial restrictions are set by each operator, and the operator's own conditions always apply to any promotion built around a price.
Conversions you will actually need
| Decimal | Fractional | Moneyline | Implied probability | $10 stake, if it wins |
|---|---|---|---|---|
| 1.25 | 1/4 | -400 | 80% | $12.50 total |
| 1.50 | 1/2 | -200 | 66.7% | $15.00 total |
| 1.91 | 9/10 | -110 | 52.4% | $19.10 total |
| 2.00 | 1/1 | +100 | 50% | $20.00 total |
| 3.00 | 2/1 | +200 | 33.3% | $30.00 total |
| 5.00 | 4/1 | +400 | 20% | $50.00 total |
| 10.00 | 9/1 | +900 | 10% | $100.00 total |
Keep one row memorised — 2.00 / evens / +100 / 50% — and derive the rest from it. The formats are arithmetic, not judgement: a price is a number you can check, and checking it in thirty seconds before every stake is the cheapest discipline in betting.
Decimal → probability
Divide 1 by the price. 4.00 becomes 25%. Do it on every price and the market's view of the match becomes visible.
Find the margin
Sum the implied probabilities of every outcome. Anything over 100% is the operator's vig — the number that never changes when you do.
Compare books
Same event, two sites: the leaner margin pays more on the identical bet. It is the only "better price" that is honest.