Three ways of writing the same price
Fractional odds, traditional in the UK and Ireland, give the profit against the stake: 5/2 means £5 profit for every £2 staked. Decimal odds, used across Europe, Australia and most betting exchanges, give the total return per unit staked, stake included, so 5/2 is 3.50. American odds, also called moneyline odds, are based on 100: a plus figure is the profit on a 100 stake (+250), and a minus figure is the stake needed to win 100 (-200).
Every conversion goes through decimal odds. Fractional a/b becomes 1 + a/b; American +A becomes 1 + A/100 and -A becomes 1 + 100/A. Evens — 1/1, 2.00 or +100 — is the point where American odds switch sign.
Implied probability and the bookmaker's margin
To convert odds to probability, divide 1 by the decimal odds: 3.50 implies 1 ÷ 3.50 = 28.57%. That is the chance the price would be fair at, not the real chance of the event. Bookmakers build in a margin, so the implied probabilities of every outcome in a market add up to more than 100%. In a two-way market priced at 10/11 on both sides, each side implies 52.38%, a total of 104.76% — the extra 4.76% is the overround. This converter takes one selection at a time, so it shows the implied probability with the margin still in it.
Bet within your means
Odds describe a price, not a likely result. Set a budget before you bet and stop when it is spent. If gambling stops being fun, free confidential support is available from BeGambleAware in the UK and the 1-800-GAMBLER helpline in the US.