Odds Converted To Probability
Posted : admin On 7/23/2022
Calculator Use
Luckily, our odds converter does the hard work for you, so you don’t need to get your calculator out. However, if you’re interested in how the odds converter works, here’s a look at the maths behind it. Fractional and decimal odds. To convert fractional odds to decimal odds, you need to turn the fraction into decimal form and then add 1. For example, 'Decimal Odds' of 3.00 has an implied probability of 33.3% which can then be converted to fractional odds of 2/1. This article discusses this process of odds conversion in detail with the use of step by step real world examples. How To Convert Decimal Odds To Fractional. There are two steps to convert decimal odds into a fraction. Step 1) Convert decimals odds into a fraction by subtracting 1, and using 1 as the denominator. Example: 3.40 – 1 = 2.40. This creates the decimal odds of 2.40/1. While this is a perfectly good fraction, bookmakers never use numbers with. In order to convert decimal odds to the implied probability, a simple formula of 1 divided by the odds and then multiplied by 100 gives the expected outcome. Implied Probability Implied probability represents the expected probability a bet has to win. Each of the three odds can be converted into implied probability to help bettors evaluate betting value.
Convert stated odds to a decimal value of probability and a percentage value of winning and losing. This calculator will convert 'odds for winning' an event or 'odds against winning' an event into percentage chances of both winning and losing.
Be careful if you are using sports teams odds or betting odds. If you see that the Patriots super bowl odds are 9/2, that is most likely 'odds against' and should be entered in the calculator with 'Odds are: against winning.'
When playing a lottery or other games of chance be sure you understand the odds or probability that is reported by the game organizer. A 1 in 500 chance of winning, or probability of winning, is entered into this calculator as '1 to 500 Odds are for winning'. You may also see odds reported simply as chance of winning as 500:1. This most likely means '500 to 1 Odds are against winning' which is exactly the same as '1 to 500 Odds are for winning.'
Probability Formulas:
This calculator will convert 'odds of winning' for an event into a probability percentage chance of success.
Odds, are given as (chances for success) : (chances against success) or vice versa.
If odds are stated as an A to B chance of winning then the probability of winning is given as PW = A / (A + B) while the probability of losing is given as PL = B / (A + B).
Convert Odds Against To Probability
For example, you win a game if you pull an ace out of a full deck of 52 cards. Pulling any other card you lose. The chance of winning is 4 out of 52, while the chance against winning is 48 out of 52 (52-4=48). Entering A=4 and B=48 into the calculator as 4:48 odds are for winning you get
For 4 to 48 odds for winning;
Probability of:
Winning = (0.0769) or 7.6923%
Losing = (0.9231) or 92.3077%
'Odds for' winning: 1:12 (reduced from 4:48)
'Odds against' winning: 12:1 (reduced from 48:4)