Yankee Calculator

What is a Yankee bet 

Yankee bets fall into the category of “Full cover bets” as it offers the punter full coverage on all combinations of multiples. A Yankee consists of 4 selections that form 11 separate bets. 4 doubles, 6 trebles and an accumulator. In order for the bet to have a return at least 2 selections must win. A Yankee is the equivalent of a Lucky 15 bet but without singles.

Bookies that offer Yankee betting 

A Yankee bet, along with the lucky 15 bet, is bookmakers’ most popular exotic bet type. This is down to the simplicity of the bets and their ability to win big with a minimum financial risk. Also when gambling was in its infancy a Yankee bet was one of the first combination bet types so people continue to bet it as it is familiar to them.

It is unlikely you will find this bet type with a betting exchange or Asian bookmaker so the best place to start looking is the traditional fixed odds bookies. As with many bets the best place to choose would be that with the best price for your chosen selections. But obviously it is advisable to only go with a bookie you trust. Another point you should factor in is withdrawals, keep in mind that some bookmakers will charge for this and several require you to turn over your original deposit x amount of times.

Our recommendations for bookies to go with are below. But there are many other great bookies and finding one that offers Yankees will not be hard. Our chosen bookies are not solely based on the ease in which you can place a Yankee but also on the whole betting experience with these companies. Often these bookies will offer you free bets and other promotions. They also price up a multitude of different sports meaning you will not have any trouble finding the 4 selections you need for your Yankee. Competitive pricing and customer service is also something these bookmakers pride themselves on.

Paddy Power Yankee calculator William Hill Yankee calculator Betfred Yankee calculator

Bet365 Yankee betting StanJames Yankee betting BetVictor Yankee betting

Yankee calculations 

A Yankee bet is the second in the series of full cover bets, the first being the Trixie. Its calculations are the same as all the others but obviously containing four variables in the equation to represent the four separate choices within the Yankee.

You will need a moderate knowledge of maths to understand how the equation was derived, but if all you are interested in doing is working out Yankee bets all you need is the final formula and a basic level of mathematical skills.

Multiple out the brackets is probably something you all studied at some point in your education and is needed to understand how we derived the Yankee settling equation. In order to keep this simple and for an easier understanding you will first be shown how the most simplistic full cover bet equation was worked out (on with 3 selections), and we will work backwards from a known helpful equation.

Here is a simple bracketed equation

(A + 1)(B + 1)(C + 1)

Now working the magic that is maths and multiplying out the brackets we’d end up with

ABC + AB + AC + BC + A + B + C + 1

This isn’t far off the 3 selections full cover bet. In fact it has all the elements of the bet but with extra step. All we then need to do is subtract these extras. So the single A, B, C and +1 all need to be subtracted from the original equation to arrive at the desired result.

(A + 1)(B + 1)(C + 1) – (A + B + C + 1)

Perfect, we now have the equation needed for the most basic of all full cover bet. Now for the Yankee all that’s need is to add one more variable, as a Yankee has four selections, and then multiply by the betting stake.

((A + 1)(B + 1)(C + 1)(D + 1) – (A + B + C + D + 1))*Stake = winnings

Example of how our Yankee calculator works 

Now although the equation for settling Yankees seems long winded it is far more efficient than calculating the eleven separate multiple it consists of and adding them together. In fact most people that consider themselves at a good level of mental arithmetic would struggle with the mental juggling of numbers involved in the later method. Now although using the equation would make this task a whole lot easier to do mentally, if you have a basic electronic calculator or a pan and paper you could arrive at bets winning amount within second.

Your winning £2 Yankee consist of four horses priced as 5.5, 11, 9.0 and 15. Now assign one of these number to a letter in the equation and you have.

(( 5.5 + 1)(11 + 1)(9 + 1)(15 + 1) – (5.5 + 11 + 9 + 15 + 1))*2 = £24,877

And here you can see the joys of a Yankee bet, the size of the money returned compared to that bet. Hopefully you can also see how easy it is to calculate the winnings.


A sports betting lover with many years of industry experience, working in roles such as in-play trader, pre-event odds compiler, risk management and trading solutions (a team with the goal of automating all aspects of the trading room).

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