All numbers and combinations in the Powerball game have the same probability
It’s very important to keep in mind that all numbers have the same probability. This is always true no matter what the frequency of each number has been. In short, there are no “hot” and “cold” numbers.
And there are no “lucky” and “unlucky” numbers.
The same mathematical rules apply to all combinations. A combination such as 1-2-3-4-5 is equally likely as any other in the universe of 292 million Powerball combinations.
Now, if all numbers and combinations have the same probability, how does Lotterycodex separate the best combinations from the worst ones?
Well, the simple answer is understanding the concept of odds.
While you may be familiar with the concept of probability, the majority of us are not familiar with the concept of odds.
Odds and probability are two different concepts. They are not mathematically equivalent.
The two equations below will describe the difference between odds and probability.
Let me translate this in plain English.
Probability refers to the measurement of a likelihood that an event will occur.
While odds refer to the ratio of success to failure.
So in short, you cannot change the underlying probability and no one has the power to change a mathematical calculation.
And similarly, you cannot beat the odds of any game because whatever you do, you the odds will never change.
BUT, here’s the thing.
As a player, you have the power to choose.
And we can use mathematics to calculate all the possible choices and then make an intelligent choice to get “the best ratio of success to failure.“
As a lotto player, your objective is to make sure that you are not mathematically wrong for the majority of the time.
For example, in a Powerball game, there are 278,256 ways you can combine numbers composed of even numbers (no odd numbers).
0-odd-5-even combination = 278,256 ways you can do this.
There are exactly 11,238,513 ways you can combine pick-5 combination from 69 numbers.
Therefore, the odds of a 0-odd-5-even combination is:
Odds of 0-odd-5-even = 278,256 / 10960257
This means that when you pick numbers based on this type of pattern 0-odd-5-even, your ratio of success is 1 in 39. In short, you get only 2 to 3 opportunities to get closer to the winning numbers for every 100 times you play the lottery.
Now, let’s talk about a more balanced type of combination such as a 3-odd-2-even.
There are 3,671,745 ways you can combine a 3-odd-2-even type of combinations.
3-odd-2-even = 3,671,745 ways you can do this combination.
Therefore, the odds for this type of pattern is:
Odds of 3-odd-2-even = 3,671,745 / 7,566,768
The odds mean that you get 32 to 33 more opportunities to match the winning numbers for every 100 attempts you play the Powerball game.
| 0-odd-5-even | 3-odd-2-even |
| 2 to 3 opportunities to match the winning numbers in every 100 draws | 32 to 33 opportunities to match the winning numbers in every 100 draws |
| VERY HIGH RATIO OF FAILURE | VERY HIGH RATIO OF SUCCESS |
Truly, you can see the difference when you calculate the possibilities because by then you know how to make an intelligent decision.
This is how Lotterycodex works.
Knowing the composition of your combination matters to determine the exact ratio of success to failure.
And the best way to analyze the composition of combination is through combinatorial patterns.
So now, let’s discuss the importance of combinatorial patterns.
The power of combinatorial patterns in the U.S. Powerball
In the lottery, one of the key factors to consider is to know the composition of your combination.
The table below shows the complete odd-even patterns in the Powerball with their corresponding probability:
| Patterns | Combinations | Probability |
|---|---|---|
| 3-odd-2-even | 3671745 | 0.326710926970499 |
| 2-odd-3-even | 3560480 | 0.31681059585018 |
| 4-odd-1-even | 1780240 | 0.15840529792509 |
| 1-odd-4-even | 1623160 | 0.144428359872876 |
| 5-odd-0-even | 324632 | 0.0288856719745753 |
| 0-odd-5-even | 278256 | 0.0247591474067788 |
| 11,238,513 | 1 |
These odd and even number patterns can be divided further into three groups.
| Best Patterns | Fair Patterns | Bad Patterns |
|---|---|---|
| 3-odd-2-even | 4-odd-1-even | All-even-numbers |
| 2-odd-3-even | 1-odd-4-even | All-odd-numbers |
The table above shows that the best patterns to play in Powerball are the balanced mix of odd and even numbers.
Similarly, we can do the same combinatorial analysis for low and high numbers.
Below is how we group the low-high patterns based on their probability.
| Best Patterns | Fair Patterns | Bad Patterns |
|---|---|---|
| 3-low-2-high | 4-low-1-high | All-high-numbers |
| 2-low-3-high | 1-low-4-high | All-low-numbers |
Based on the table above, the majority of the winning numbers in the Powerball lotto system are composed of balanced low and high numbers.
So if you don’t want to waste money, then don’t bet on numbers like 1-2-3-4-5 (all low numbers) or 65-66-67-68-69 (all high numbers).
Let me show you the proof by comparing our theoretical analysis with the actual results of the Powerball.
Theoretical prediction versus the actual results of the U.S. Powerball (odd-even pattern analysis as of February 05, 2020)
In Mathematics, we compute the expected frequency of each pattern by multiplying the probability by the number of draws.
Expected Frequency = Probability X number of draws
There are 449 draws in Powerball from October 7, 2015, to February 05, 2020. So, in the case of a 3-odd-2-even pattern, we get 146.69320621 by multiplying 0.326710926970499 by 449.
We round off the number to arrive at 147. Now we see that the 3-odd-2-even pattern is expected to occur about 147 times in 449 draws.
Doing similar computation with the rest of the odd-even patterns, we will come up with the following complete comparison table below:
| Patterns | Expected frequency in 449 draws | Actual frequency in 449 draws |
|---|---|---|
| 3-odd-2-even | 147 | 148 |
| 2-odd-3-even | 142 | 138 |
| 4-odd-1-even | 71 | 75 |
| 1-odd-4-even | 65 | 61 |
| 5-odd-0-even | 13 | 14 |
| 0-odd-5-even | 11 | 13 |
Looking at the table, the close value between expected frequency and actual frequency proves that Powerball behaves in a predictable pattern.
A different way to say it is that Powerball lotto follows the dictate of probability.
Fortunately for you as a lotto player, you can take advantage of this probability principle to make the right decision. Thanks to mathematics.
Using the probability formula, we can predict how specific number composition will likely occur in a lottery draw.
For example, probability calculation shows that a 3-odd-2-even pattern is expected to appear 147 times. In the actual draw, the same pattern occurred 148 times. Very close prediction.
If you look at the whole graph, it doesn’t take a second to realize that prediction and actual results closely agree together.
As a Powerball player, you may want to put your money on the best two patterns. And as a smart player, you don’t want to waste your money on all-even-number or all-odd-number.
New Zealand Powerball
- The first historical draw of New Zealand Powerball took place in 2001. Since then, the rules of the lottery have changed a little with the aim of improving the conditions for participants in the draws. In particular, the size of the minimum guaranteed jackpot has been increased.
- Information on the main features of NZ Powerball:
- Lottery players have to select six numbers from 1 to 40 from the main set of numbers and one additional number between 1 and 10;
- The minimum jackpot is NZD 4 million (approximately 2.6 million US dollars);
- National Lottery NZ runs twice a week — on Wednesdays and Saturdays;
- The odds of of winning the minimum prize of the last category are 1:38.
Since the launch of the lottery, the maximum size of the NZ Powerball jackpot has been NZD 44 million.
South Africa Powerball
- South Africa Powerball was launched in 2009, with the first game of this most famous Africa lottery, which soon gained an enviable popularity in many countries around the world.
- Key features of SA Powerball:
- Players have to select five numbers from 1 to 50 from the first block of numbers and a single number between 1 and 20 from an additional block of numbers;
- The minimum National Lottery SA jackpot is ZAR 3 million, equivalent to approximately $175,000 US;
- Powerball Lotto South Africa draws are held twice a week — on Tuesdays and Fridays;
- The odds of winning the minimum lottery prize of the last category are 1:35.
The maximum size of the jackpot played in the entire history of the African version of the lottery was ZAR 103 million.
The four best combinatorial patterns in the US Powerball
Let me show you the exact patterns that dominate the Powerball game.
I have divided the patterns into three groups.
| Best | Middle | Worst |
|---|---|---|
| Patterns #1 to #4 | Patterns #5 to #28 | Patterns #29 to #56 |
The details of these patterns are discussed in the free lottery guide section.
In Powerball and any lottery system, I always recommend players to focus on the patterns that belong to the best group. Although you can play the middle patterns, you should concentrate on the best ones. In Powerball, they are patterns #1, #2, #3, and #4.
See the huge difference between the two probability values below:
| Pattern | Probability | Expected occurrence |
|---|---|---|
| Pattern #1 | 0.0668850941 | 7x in 100 draws |
| Pattern #56 | 0.0005506067 | 5x in 10,000 draws |
If you want to play U.S. Powerball to win, then pick your numbers based on a pattern with a high ratio of success. In Powerball, you should probably choose pattern #1 over pattern #56.
Let me remind you that you don’t win anything by matching the pattern. You only win the lottery when you match the exact numbers.
The concept of using Lotterycodex patterns should be helpful as a guide to get you closer to the winning combination.
But many Powerball players are not aware of the patterns they are playing.
The table below shows examples of combinations that belong to the worst group.
There are millions of these worst types of combinations. If you are playing blindly, chances are, you are playing one of the worst combinations in Powerball.
Use a Lotterycodex calculator to make sure that you’re picking the right choices.
USA Powerball
- USA Powerball lottery was first held in 1992. Since then, its format has changed several times, but the basic principles for conducting draws remain unchanged to this day. In the event that any global changes affect the rules or conditions of the lottery draws, you will immediately be informed of this through an announcement on our portal.
- It was in the American Powerball lottery that a system with two drums was used for the first time during the draws to extract the winning numbers. The number of balls in each drum has changed several times since then, but the number of drums has remained the same to this day. Now the format of Powerball drawing is as follows:
- The player chooses five numbers from 69 white balls and one number from 26 red balls;
- In the USA Powerball lottery, the minimum jackpot starts at $20,000,000 (before the crisis associated with the coronavirus pandemic 2020, the minimum size of the Powerball jackpot was $40,000,000);
- Lottery draws are held twice a week — on Wednesdays and Saturdays;
- The minimum odds of winning the lowest prize in the lottery are 1:24.9.
Note that the largest jackpot in the history of Powerball and all American lotteries was $1.6 billion.
Powerball Winners
Over the entire existence of the legendary game in different countries, millions of its fans have ended up as lucky Powerball winners, which is the dream of every participant in the current draws. For example, in just the American version of the game, more than 300,000 players manage to win the lottery every week.
The number of winners of the weekly Australia Powerball draw is no worse than the number of lucky US Powerball winners. And there are just as many New Zealand and South Africa Powerball winners, because in these regional lotteries, as in the leading Australian and American lotteries, people from many other countries participate. Every week, more than 1 million lotto Powerball tickets on different continents turn out to be lucky and collect multi-million dollar wins across different categories.
Given the enormous popularity of the legendary lottery in the countries of the draws and beyond, the gigantic size of the Powerball jackpot is a familiar and exciting phenomenon for draw participants. You too, can be among the winners of the famous game and buy Powerball tickets online right now!
SA PowerBall Results History
Below is the list of SA PowerBall results history, SA PowerBall Plus results history for the last 30 draws:
| Draw Date | Lotto Game | Winning Numbers | Draw Details |
|---|---|---|---|
| 10 Nov, 2020 Tue | PowerBall Results History | 23 35 06 36 30 + 14 |
Draw 1145 |
| 10 Nov, 2020 Tue | PowerBall Plus Results History | 28 17 49 20 41 + 11 |
Draw 1145 |
| 06 Nov, 2020 Fri | PowerBall Results History | 09 44 40 33 06 + 11 |
Draw 1144 |
| 06 Nov, 2020 Fri | PowerBall Plus Results History | 16 04 15 46 40 + 09 |
Draw 1144 |
| 03 Nov, 2020 Tue | PowerBall Results History | 02 01 36 25 39 + 12 |
Draw 1143 |
| 03 Nov, 2020 Tue | PowerBall Plus Results History | 14 16 27 45 26 + 05 |
Draw 1143 |
| 30 Oct, 2020 Fri | PowerBall Results History | 36 27 46 49 04 + 16 |
Draw 1142 |
| 30 Oct, 2020 Fri | PowerBall Plus Results History | 34 16 26 41 42 + 10 |
Draw 1142 |
| 27 Oct, 2020 Tue | PowerBall Results History | 25 19 45 41 46 + 12 |
Draw 1141 |
| 27 Oct, 2020 Tue | PowerBall Plus Results History | 12 43 17 31 06 + 12 |
Draw 1141 |
| 23 Oct, 2020 Fri | PowerBall Results History | 03 43 41 36 06 + 17 |
Draw 1140 |
| 23 Oct, 2020 Fri | PowerBall Plus Results History | 24 27 01 13 38 + 01 |
Draw 1140 |
| 20 Oct, 2020 Tue | PowerBall Results History | 32 45 15 29 20 + 04 |
Draw 1139 |
| 20 Oct, 2020 Tue | PowerBall Plus Results History | 37 18 31 30 16 + 17 |
Draw 1139 |
| 16 Oct, 2020 Fri | PowerBall Results History | 48 07 37 18 01 + 13 |
Draw 1138 |
| 16 Oct, 2020 Fri | PowerBall Plus Results History | 47 22 31 40 48 + 15 |
Draw 1138 |
| 13 Oct, 2020 Tue | PowerBall Results History | 28 13 20 15 27 + 07 |
Draw 1137 |
| 13 Oct, 2020 Tue | PowerBall Plus Results History | 41 17 22 33 13 + 05 |
Draw 1137 |
| 09 Oct, 2020 Fri | PowerBall Results History | 08 50 41 38 21 + 04 |
Draw 1136 |
| 09 Oct, 2020 Fri | PowerBall Plus Results History | 32 46 36 11 09 + 18 |
Draw 1136 |
| 06 Oct, 2020 Tue | PowerBall Results History | 33 29 25 06 21 + 09 |
Draw 1135 |
| 06 Oct, 2020 Tue | PowerBall Plus Results History | 14 41 16 46 17 + 09 |
Draw 1135 |
| 02 Oct, 2020 Fri | PowerBall Results History | 08 41 10 23 50 + 09 |
Draw 1134 |
| 02 Oct, 2020 Fri | PowerBall Plus Results History | 07 32 25 14 42 + 15 |
Draw 1134 |
| 29 Sep, 2020 Tue | PowerBall Results History | 07 16 38 28 12 + 13 |
Draw 1133 |
| 29 Sep, 2020 Tue | PowerBall Plus Results History | 16 37 01 17 05 + 05 |
Draw 1133 |
| 25 Sep, 2020 Fri | PowerBall Results History | 18 17 02 37 27 + 04 |
Draw 1132 |
| 25 Sep, 2020 Fri | PowerBall Plus Results History | 12 22 26 49 46 + 04 |
Draw 1132 |
| 22 Sep, 2020 Tue | PowerBall Results History | 31 10 03 28 41 + 07 |
Draw 1131 |
| 22 Sep, 2020 Tue | PowerBall Plus Results History | 12 37 08 02 47 + 15 |
Draw 1131 |
| 18 Sep, 2020 Fri | PowerBall Results History | 44 24 29 19 08 + 08 |
Draw 1130 |
| 18 Sep, 2020 Fri | PowerBall Plus Results History | 45 41 40 47 14 + 07 |
Draw 1130 |
| 15 Sep, 2020 Tue | PowerBall Results History | 32 18 40 03 46 + 07 |
Draw 1129 |
| 15 Sep, 2020 Tue | PowerBall Plus Results History | 01 28 27 19 12 + 01 |
Draw 1129 |
| 11 Sep, 2020 Fri | PowerBall Results History | 49 04 12 01 10 + 18 |
Draw 1128 |
| 11 Sep, 2020 Fri | PowerBall Plus Results History | 34 07 12 25 24 + 09 |
Draw 1128 |
| 08 Sep, 2020 Tue | PowerBall Results History | 13 50 36 12 14 + 06 |
Draw 1127 |
| 08 Sep, 2020 Tue | PowerBall Plus Results History | 40 22 24 29 33 + 10 |
Draw 1127 |
| 04 Sep, 2020 Fri | PowerBall Results History | 12 11 43 02 03 + 13 |
Draw 1126 |
| 04 Sep, 2020 Fri | PowerBall Plus Results History | 30 09 08 45 11 + 01 |
Draw 1126 |
| 01 Sep, 2020 Tue | PowerBall Results History | 36 22 21 16 39 + 05 |
Draw 1125 |
| 01 Sep, 2020 Tue | PowerBall Plus Results History | 45 33 31 01 14 + 11 |
Draw 1125 |
| 28 Aug, 2020 Fri | PowerBall Results History | 45 44 17 10 08 + 12 |
Draw 1124 |
| 28 Aug, 2020 Fri | PowerBall Plus Results History | 22 11 14 27 09 + 04 |
Draw 1124 |
| 25 Aug, 2020 Tue | PowerBall Results History | 34 48 07 20 32 + 01 |
Draw 1123 |
| 25 Aug, 2020 Tue | PowerBall Plus Results History | 11 25 28 02 42 + 03 |
Draw 1123 |
| 21 Aug, 2020 Fri | PowerBall Results History | 41 13 33 40 32 + 01 |
Draw 1122 |
| 21 Aug, 2020 Fri | PowerBall Plus Results History | 02 43 09 18 25 + 02 |
Draw 1122 |
| 18 Aug, 2020 Tue | PowerBall Results History | 22 30 06 39 49 + 02 |
Draw 1121 |
| 18 Aug, 2020 Tue | PowerBall Plus Results History | 49 01 15 35 25 + 07 |
Draw 1121 |
View All PowerBall Past Results
How to play Powerball online
Today, you can play Powerball online, whether the American or other lotteries of this family in Australia, South Africa and New Zealand through our international online lottery gaming platform. In fact, you can buy a Powerball ticket online for any country with a draw, from anywhere in the world, regardless of your citizenship or place of residence. Today, lotto Powerball is accessible to anyone in the world completely legally, due to the fact that our representative offices in the countries that hold the draws purchase the official Powerball lottery ticket on your behalf, which is safely stored in the corresponding local office of our company. If you are lucky enough to win a prize of any category in the lottery, including the jackpot, you are guaranteed to receive your winnings in one of several available ways, depending on its size, which can be found in more detail on the terms and conditions page of our gaming platform.
Instructions for playing Powerball online
To play Powerball online, you just need to complete a simple and free registration on our international lotto online platform and choose your preferred Powerball based on the geographical location of the official draws. Our regional office, based in the country of the chosen lottery, will physically purchase the Powerball lottery ticket in accordance with the game combination specified by you when you fill out the electronic lottery form.
After applying and paying to participate in the draw, our local representatives will immediately place a scan copy of the Powerball ticket in your gaming account. The procedure for buying lottery tickets online and receiving winnings is described in detail in the corresponding section of our website.
Playing Powerball win using our global lottery site is also completely legal, simple and convenient. We guarantee the protection of personal information and a 100% payment of lottery winnings anywhere in the world without any commission or hidden fees.
