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18+Adults only. Decide what an evening may cost before it starts. Gambling Safely

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Levante Gambling TrendsAn 18+ magazine on casinos, betting, poker and lotteries, with the operator's margin always on the page.
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31 articles
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92 min
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Levante Gambling Trends

Making Sense of Odds

Odds turn up everywhere on this site: in betting prices, casino games, poker hands and lottery draws. This page is a compact reference for reading them, so you can check any number we use and any number an operator shows you. The converter on this page does the arithmetic for decimal prices.

Odds and probability are two views of one idea

A probability says how often something is expected to happen, from 0% (never) to 100% (always). Odds express the same idea as a payout or a ratio. A fair coin has a 50% chance of heads; fair odds on heads would be 2.00 in decimal, 1/1 in fractional or +100 in American format.

The three betting formats

FormatHow to read itTo decimal
Decimal (e.g. 3.00)Total return per 1 unit staked, stake includedAlready decimal
Fractional (e.g. 2/1)Profit relative to stakeDivide top by bottom, add 1
American plus (e.g. +200)Profit on a 100 stakeDivide by 100, add 1
American minus (e.g. −200)Stake needed to win 100Divide 100 by the number, add 1

A fuller walkthrough with examples is in our article on how to read betting odds.

From any price to a probability

Convert the price to decimal, then divide 1 by it. A decimal price of 4.00 implies 25%. A price of 1.25 implies 80%. This implied probability is the bookmaker's estimate with its margin included, not a guarantee of anything.

Finding the margin in a betting market

  1. Take every possible outcome in the market.
  2. Work out the implied probability of each.
  3. Add them up. Anything over 100% is the overround.

Two outcomes both priced at 1.91 add up to roughly 104.7%, so the overround is about 4.7%. A three-way football market with prices of 2.40, 3.30 and 3.10 implies about 41.7%, 30.3% and 32.3%, which totals roughly 104.2%.

House edge in casino games

Casino games express the same idea as a house edge: the average share of each stake the game keeps over a very long run. On a single-zero roulette wheel there are 37 pockets, but a winning straight-up bet pays 35 to 1, as if there were only 36. The missing pocket is the edge: 1 ÷ 37, or about 2.7%. Slot machines show the reverse figure, return to player, so an RTP of 96% corresponds to a 4% edge over the long run.

Odds against

Lotteries and card games often quote odds as "1 in N". That simply means one favourable result among N equally likely ones. The jackpot in a 6-from-49 lottery is 1 in 13,983,816, as worked out in our article on the odds of winning the lottery.

Three things odds never do

  • They never remember: past results do not change the next one in a fair game.
  • They never promise: a 90% chance still fails one time in ten.
  • They never remove the margin: knowing the numbers helps you see the cost, not avoid it.

Understanding odds is useful whether you gamble or not. If you do, keep to a fixed budget and remember that real-money play is for adults only.

Cost at a glance

Smaller margins and bigger ones

Some choices give away less to the operator than others. Neither column is free.

Usually a slimmer margin

  • Even-money bets on a single-zero roulette wheel
  • Main moneyline and spread markets in popular sports
  • Single bets rather than combined tickets
  • The banker side in baccarat

Usually a wider margin

  • Any bet on a double-zero wheel, above all the five-number bet
  • Long parlays and same-game parlays
  • Novelty markets and obscure player props
  • Baccarat's tie bet

A slimmer margin still costs money; it only drains a budget more slowly.

Try a price

Convert a decimal price

Type any decimal price above 1.00 to see it as a fraction, as an American line and as the chance it implies.

As a fraction: –

American line: –

Chance it implies: –

The implied chance still contains the bookmaker's margin, so it is a price, not a forecast.