Decimal Odds Calculator

How much are you going to win with that bet — if everything goes according to plan — won't be a mystery with our decimal odds calculator. Insert the chances, and let us do the math.

Keep reading our short article to learn everything you need to know:

• What are odds;
• How to calculate the decimal odds of a bet;
• How to use decimal odds to calculate a bet's return.

When you are betting, you assign a value to the likelihood of the outcome of an event. It sounds complicated, doesn't it?

Let's try to put it in simple words. Take an event with a defined set of outcomes. It can be any event: a soccer game, a horse race, the possibility of finding good weather on your hike, or being hit by a pot of petunias falling from the sky.

You can assign chances to those outcomes. A chance represents the likelihood of one of those outcomes: 5 chances of winning on a total of 6 games, one chance in a million to win the lottery.

You can calculate those chances or let someone figure them out for you. Chances can come in various aspects, but usually, we express them as a pair of numbers — at least when the outcome is dual:

• The chances of success; and
• The chances against success.

That's all it matters for you.

Now, you will bet on one of those outcomes: the one you choose will represent your chances of success. It depends on you: are you willing to take a risk for a high return, or do you prefer to play safe?

You can easily calculate the probability of losing or winning the bet:

where:

• $P_{\text{W}}$ - Probability of winning;
• $P_{\text{L}}$ - Probability of losing;
• $C_{\text{s}}$ - Chances for success; and
• $C_{\text{as}}$ - Chances against success.

You can express these results either in percentage or as a decimal number.

Now it's time to calculate your odds. The decimal odds are an intuitive way to calculate your return in the case of a winning bet. Follow us: we will teach you how to calculate the decimal odds of your bet.

To calculate the decimal odds of a bet, you only need to know the winning and losing chances.

The formula for the decimal odds is:

The higher the number, the higher the probability of you losing the bet.

What do you do with the result of the calculations for the decimal odds? You can calculate the return, for example!

Decimal odds quickly tell you how much would be your total return in case of a winning bet. This way, you will find how much money would return in your pocket, not the net profit. You use decimal odds to calculate the return of your bet by multiplying the stakes of your bet by the decimal odds' value.

where:

• $r$ - The gross return;
• $s$ - The stake of your bet; and
• $\text{odds}$ - The decimal odds.

To calculate the net return, subtract $r$ and $s$:

As you know, there are many ways to write the odds of the same bet. Try our odds calculator for an overview of all of them or our fractional odds.

Say that you are betting against the sky that you will get hit by a meteor. Scientist estimated this event to have chances $1$ in $250,000$. This is an admittedly silly bet, so don't raise your stakes: $\text{\textdollar}10$ will be enough.

What are the decimal odds of your bet?

That was pretty straightforward. The return of your bet in case the rock hits you would be $2,500,010$. We hope you can enjoy them.

You can express odds in three ways:

1. American odds: odds normalized over a stake of $100;
2. Fractional odds: odds against the losing chances (used in the UK); and
3. Decimal odds: odds against all chances (used in continental Europe).

Decimal odds and fractional odds are different ways to express the same concept, a way to calculate the return of a winning bet.

• We express a decimal odd with a single number, e.g., 13.7. Multiplying the decimal odds by the stake gives the gross return.
• We express the fractional stakes as an integer fraction. Multiplying this fraction by the stake gives us the net return.

To calculate the decimal odds of a bet, you must know:

• Cs - The chances of success; and
• Cas -The chances against success.

To find the decimal odds, apply the formula:

odds = (Cs+Cas)/Cs

Your return is $1,350. The decimal odds 13.5 correspond — roughly — to the chances of rolling a combination of 6 dice summing to 18.
The probability of losing is 92.5% while winning is 7.5%. The chances are about 8 to 100.

Calculate the decimal odds and multiply them by the stake to find your return r:

r = s × (Cs+Cas)/Cs = 100 × (100+8)/8 = $1,350

where:

• Cs - chances of success; and
• Cas - chances against success.