Lottery Winning Chances and Odds: How to Calculate?

Some lottery winners seem to have won the jackpot within their first attempts, while others take 20 years to finally receive the prize. Your real chance of winning the lottery could be improved if you knew the right formula. That is a very common concern and one that is easy to cover if you know where to look. This guide precisely aims at giving you a chance to find out how to calculate lottery winning numbers’ probabilities so that you may finally know what you are doing.

What is the Real Chance of Winning the Lottery?

Your real chance to win lottery games is simply calculated through a lottery formula that considers your odds of winning the lottery prize you are after. Your odds simply are how close you are to having your numbers drawn as the winners of the jackpot. In short, your total coverage of the possible outcome combination represents your chances of winning the lottery.

Now that we covered the basic and theoretical concepts, it is time to understand how to calculate the chances to win the lottery.

How to Calculate Your Chances of Winning the Lottery?

It is not difficult to calculate your chance of winning the lottery, even if the formula may scare some players at first glance. In fact, just looking at the odds that we indicate for the games on our online lottery pages is enough to figure out your probabilities. Still, just to be sure you won’t have to rely on external sources every time, let’s dive into the calculation.

Calculating the Chances of Winning the Jackpot

The jackpot is by far the most important lottery prize and what people usually understand as “winning the lottery”. Therefore, let’s take a look at the formula to calculate your chances of winning any lottery:

Calculating the Chances of Winning the Jackpot

  • n = total of numbers in the pool
  • r = total of numbers you may choose
  • ! = factorial

Therefore, a game such as Lotto 6/49, which you can play online from the Philippines, would use the following information:

  • n = 49
  • r = 6

The factorial “!” means that you need to multiply the specified number by the subsequent one in descending order. For example, 49 x 48 x 47 x 46 (…) x 3 x 2 x1 would equal “n!” in this example. The result is 13,983,816, but how does that summarize your chance of winning?

Basically, that result from the lottery formula is the number of possible combinations in that specific lottery game. With a single ticket, your chances are summarized in odds of 1 in 13.98 million.

Multiple Drums

You may be wondering how to know your chances to win the lottery in the case of lottery games such as Powerball and Mega Millions, which have two drums. If you got the formula of the odds of winning the lottery right, then there is nothing to worry about.

Simply calculate the two drums separately with the formula you just learned in the topic above. Therefore, using US Powerball as an example that we can play from the Philippines, that would mean calculating first the drum of 5/69 numbers and then another one of 1/26. Then, we multiply them after dividing one by each separate result:

Multiple Drums

In the case of Powerball, we would end with 1/11,238,513 x 1/26 = odds of 1 in 292,201,338. Believe it or not, those are the real chances of winning lottery games such as Powerball.

Chances of Matching Smaller Prizes

We should not forget that smaller and secondary prizes are also part of playing and winning the lottery. They may not be as interesting as the jackpot, but they can certainly be useful, even if only to purchase more tickets. So, if you are not certain about your chances, you may calculate them as well!

The formula is a bit larger but definitely not more complex if you understand how to insert the numbers:

Chances of Matching Smaller Prizes

  • k = numbers that you need right for that prize tier
  • n = total pool of numbers
  • r = total numbers drawn

Continuing with the Powerball example, if we wanted to understand our chances of winning the lottery prize for three correct numbers, these would be the values:

Continuing with the PowerballWhile that is a lot to calculate, it is the only way to know your exact odds of winning the lottery if you want to do it yourself. Fortunately, we have brought a list of the odds for the best lottery games that can be played online from the Philippines so that you do not have to spend any of your precious time doing math.

The Odds of Winning the Lottery

After learning all that, what are the chances of winning the lottery? Well, it varies from one game to another and is totally dependent on the total of numbers you may pick from and how many you may choose per ticket. The more combinations there are, the smaller your chances of winning, and these are your real odds for popular lotteries:

LotteryJackpot OddsSecond-Prize Odds
US Powerball1 in 292,201,3381 in 11,688,053
Mega Millions1 in 302,575,3501 in 12,607,306
Euromillions1 in 139,838,1601 in 6,991,908
Eurojackpot1 in 95,344,2001 in 5,959,013
Cash4Life1 in 21,846,0481 in 7,282,016
France Loto1 in 19,068,8401 in 2,118,760
Austria Lotto1 in 8,415,0601 in 1,357,510
La Primitiva1 in 139,838,1601 in 13,983,816
SuperEnalotto1 in 622,614,6301 in 103,769,105
Lotto Texas1 in 25,827,1651 in 89,678
Lotto 6/491 in 13,983,8161 in 2,330,636
OZ Lotto1 in 45,379,6201 in 3,241,401

The odds are always proportional to the prize. If we take a look at different types of gambling, those that offer simple odds, such as 1 in 2, have a tiny payment compared to lottery jackpots. That is why people believe that the lottery is worth playing, especially knowing that the gambling laws in the Philippines allow online lottery and playing games from abroad.

Play Lotteries With Good Odds on Lotto247

How to Calculate Lottery Winning Numbers?

Some people wonder how to calculate lottery-winning numbers and know at least a portion of the numbers that will be drawn. There are countless theories out there about how statistical analyses could reveal the most probable results. However, being the lottery a game of chance, you cannot calculate the winning numbers.

“If there was a way to crack the lottery, the game would cease to exist. Therefore, all that we can do is calculate our odds of winning the lottery and hope for the best. If you apply any kind of formula at all, you will have a possible winning ticket, just as good as any quick-pick that you can generate instantly.” – advice by Jason Anque, an expert lottery casino writer at LuckyStarts.

What Are the Chances of Winning the Lottery Online?

When you play the lottery online through the websites that we have tested and approved, you know that you are playing with the real odds. Therefore, your chances of winning any online lottery are the exact same as someone playing locally. That applies to both Philippines’ lotteries and those from abroad.

How to Improve Your Chances to Win the Lottery?

If you cannot calculate lottery winning numbers and rely purely on luck, how to improve your chances to win the lottery? The answers are close to obvious, but we want to make sure that you understand all your possibilities.

Buy More Tickets

If every combination is a chance of winning the lottery, the more tickets you cover, the better your odds. Therefore, instead of playing a single ticket in a weekly drawing, consider purchasing more if you can. Sometimes it might be even better to cover a few more combinations once a month than just one or two every week because your odds in that specific drawing will be improved a lot.

Play in Syndicates

There are websites like theLotter promoting online syndicates in which you preserve your anonymity and buy a share with 50, 100, 200, or even 500 lines at once. While that means winning results in sharing the prize with everyone else playing, the cost tends to be dozens or hundreds of times smaller.

If you can cover more possibilities for a smaller price, that is possibly worth sharing the prize in most of the difficult lotteries. Also, nothing hinders you from playing alone as well while giving syndicates and group play a try. You may try organizing one yourself, but be aware of the bureaucracy and troubles it may generate.

Play Through Syndicates on theLotter

Choose Wisely

While I did use Powerball as an example to show how to calculate your chance to win the lottery, notice that it is extremely hard. If a prize above millions is a must, there still are great picks out there with better odds. Maybe you do not need hundreds or dozens of millions for a jackpot, and that opens up a whole world of lotteries in front of you that is easier than the big names in the market.

Some great examples are the Austria Lotto, with odds of 1 in 8.14 million for the jackpot, which are the same as the Australian Monday or Wednesday Lotto. The Irish Lotto is also a reasonably less difficult lottery with odds of 10.73 million.

Is the Lottery Worth Playing?

Are you prepared to play one of the most difficult gambling alternatives available in exchange for the possibility of becoming rich? If the answer is “Yes”, the lottery is worth playing for you. The chances of winning the lottery are always inversely proportional to the prizes, which is something you should keep in mind. At least now you know how to calculate your odds of winning and may choose your lotteries in a smart manner.


You may cover more combinations and your odds of winning become better. Other than that, you can make use of all the superstitions you want.
The odds are fixed because the number of possible combinations is the same for every drawing.
No, lottery tools can let you analyze statistics and other data that have no impact on your general odds of winning the lottery.
Yes, the same game found locally can be played online with the same odds exactly.
The lottery formula is used only to understand your real chances of winning, and it exists because it is a simple mathematical equation. If you mean a formula to guarantee winnings, that could never exist in the lottery.