Powerball: Odds Calculator, Online Random Generator, Numbers, Combinations, Strategy, Systems
By Ion Saliu, Powerfully At-Large
I. Introduction to Powerball: Calculate the Odds
II. Powerball Winning Strategy: Pick the Numbers Most Likely to Hit in the Next Lotto Drawing
III. Powerball Resources: Online Random Number Generator, Odds Calculator, Software
IV. Useful Powerball Links and Resources
1. Introduction to Powerball, Power Ball: Calculate the Odds
The following is a presentation of lotto software to create winning strategies, systems, wheels for Powerball, the multi-jurisdiction U.S. lottery game. Get your free lotto wheels, the best software, combinations or number generator and odds calculator online, right here.
Powerball is a two-ball-set lottery game, but somehow different from Euromillions-type lotto games. Both Powerball-type and Euromillions-type are two lotto games in one. Like Euromillions, the first drawing machine of Powerball draws five regular lotto numbers (from 1 to 59, in this case). But the second machine draws just 1 ball, also like regular lotto numbers, from 1 to 35. The last Power Ball can be equal to any of the five regular numbers.
The odds of Powerball are calculated for two dependent lotto games. The first part of the game, 5 of 59, has a total of 6 types of odds, from 0 of 5 to 5 of 5. The second part of the game has two types of odds, from 0 of 1 to 1 of 1. The rundown of the Powerball probabilities (odds):
The probability to win the jackpot is 1 in 175,223,510. Evidently, the Powerball game offers far fewer prizes than the total number of odds elements.
The new Powerball game required an update to the online odds calculator and random generator. I upgraded both ActiveX controls. IonSaliuGenerator and IonSaliuCalculator are now in version 6.1, February 16, 2004 (4 WE). The combination generator was upgraded in 2005. Version 7 of the super generator employs superior innate filtering for lotto games, including for Keno, Euromillions, Mega Millions, and Powerball.
The Powerball_6 module generates optimized combinations for Powerball, the same way as for the other lotto games (except for Keno). The pick, horses, roulette and sport betting combinations are not optimized. The generating ActiveX control generates now 1000 combinations instead of 100. As I have stated many times, the more lotto combinations generated, the higher the probability to win (degree of certainty). According to Fundamental Formula of Gambling (FFG), the chance to hit is lower in the beginning. We must go closer to the FFG median to have to highest winning chance. It did take a very long time to get the FFG median by generating just 100 lottery combinations at a time. Now, the generator offers better time compression. Think about it as saving money. You ran the generator for a few thousand lotto combinations. Chances are they were not winners. But you didn't play them either, so you saved money.
The odds calculated as EXACTLY in a Powerball game 5/59 AND 1/35:
0 of 5 in 5 from 59 AND 0 of 1 in 1 from 35 = 1 in 1.63
0 of 5 in 5 from 59 AND 1 of 1 in 1 from 35 = 1 in 55.41
1 of 5 in 5 from 59 AND 0 of 1 in 1 from 35 = 1 in 3.26
1 of 5 in 5 from 59 AND 1 of 1 in 1 from 35 = 1 in 110.81
2 of 5 in 5 from 59 AND 0 of 1 in 1 from 35 = 1 in 20.78
2 of 5 in 5 from 59 AND 1 of 1 in 1 from 35 = 1 in 706.43
3 of 5 in 5 from 59 AND 0 of 1 in 1 from 35 = 1 in 360.14
3 of 5 in 5 from 59 AND 1 of 1 in 1 from 35 = 1 in 12244.83
4 of 5 in 5 from 59 AND 0 of 1 in 1 from 35 = 1 in 19087.53
4 of 5 in 5 from 59 AND 1 of 1 in 1 from 35 = 1 in 648975.96
5 of 5 in 5 from 59 AND 0 of 1 in 1 from 35 = 1 in 5153632.65
5 of 5 in 5 from 59 AND 1 of 1 in 1 from 35 = 1 in 175223510
The computers are one reason why they change the lottery game formats so often. I remember the Pennsylvania lotto game of the 1980's. It was a lotto 6/40 game. The game still experienced jackpot rollovers. The players were very slow in coming up with combinations. They played birth dates, or they plotted grid patterns using pencil and paper. Then the personal computers turned into an appliance. The lotto games have become more and more difficult. Yet, there have been more frequent jackpot winners. The computers generate combinations millions of times faster. The lottery commissions also offer computerized random picks. The time compression has been accelerated.
• There is a strong correlation between lotto, lottery and the birthday paradox. The probability of collisions or coincidences is surprisingly high!
2. Powerball, Power Ball Winning Strategy: Pick the Numbers Most Likely to Hit in the Next Lottery Drawing
There is also the strategy in gambling, including lotto and lottery. Even a game like Powerball is prone to strategies, especially number pairing (and especially in the second ball set). Who knows what games will we see in the future? The lottery commissions will constantly change the games to counter-attack the computer impact.
There is no lotto strategy that I specifically designed for Powerball. But you can apply the general lotto and lottery strategy I present on the main strategy page. You can divide Powerball in two lotto games: One game draws five numbers, the other draws two numbers. It is similar to the Mega Millions or Euromillions-type of games. I present Powerball-type strategies based on the first five regular lotto numbers.
The mathematics of lotto and lottery, including Powerball, is founded on the Fundamental Formula of Gambling (FFG):
The lotto numbers, including Powerball, tend to repeat more often when their running skip is less than or equal to the 'probability median'. The 'probability median' or FFG median can be calculated by the Fundamental Formula of Gambling (FFG) for the degree of certainty DC = 50%. This revolutionary premise constitutes the backbone of the lottery and lotto strategy that follows.
You only need 3 values for the degree of certainty DC: 50%, 75%, 90%. The parameter DC = 50% is fundamental. It represents the 'probability median'. You can substitute the other two, or you can add other parameters, if you wish.
• Click here to download a Command Prompt program that does all the calculations: SuperFormula.EXE, option F = FFG. The super software boasts dozens of probability and statistics functions. The program allows you to calculate the number of trials N for any degree of certainty DC. Plus, you can also calculate the very important binomial distribution formula (BDF) and binomial standard deviation (BSD). This lotto software program also calculates several types of Powerball odds, lottery probabilities based on hypergeometric distribution probability.
In 55% of the wins, an individual Powerball regular number repeats after 8 draws, for p = 5/53. The lottery strategy based on the FFG was first presented in 1997. In the most basic lotto Powerball strategy, the user would run the frequency reporting in Ion Saliu's lottery software known as LotWon, SuperPower and MDIEditor And Lotto WE. The statistical reports show each lotto number and its skips. The skip represents the number of drawings between two hits (wins). The lotto player would look at the current skip of every Powerball regular number. The player then selects the skips between zero and 7. That is a total of 8 values for a skip. The user would end up with some 15 to 25 Powerball lotto numbers. In the final step, the lottery player would wheel the numbers by applying a reduced lotto system (wheel).
You can download from this site free software that analyzes the skips for the Powerball game: SkipSystem.EXE. Open the two reports (SKIPPb.1 and SKIPPb.2) in a text editor, like MDIEditor And Lotto WE. You may want to set the font to Courier 10 point. The report #2 can be of valuable help to you! Read also: Necessary Updates to the Pick Lottery, Lotto and Roulette Skips Software.
The most powerful software capable of handling the game of Powerball is known to the world as MDIEditor And Lotto WE. It has specific functions that crunch the Powerball: statistical reporting (frequency and skips), filter analysis, and optimized combination generator. Read the comprehensive guide to MDIEditor and Lotto. Steps in menu: Lotto, then Powerball 5+1, then type of Powerball-combination generating.
• Not to mention, MDIEditor And Lotto WE is totally free to run for an unlimited time (for registered members of the software download site)!
This site offers also the best, bar none, Powerball random numbers generator and odds calculator. The engines are online ActiveX controls you can run at any time — freely, of course! Not to mention that the Powerball combinations are optimized. You won't find such feature anywhere else.
Other valuable resources include the results (draws) of Powerball from the beginning of the lottery game and statistical reports of the Powerball lotto numbers ranked by frequency. Such resources require paid membership (a reasonable fee valid for the lifetime of this Web site).
Read Ion Saliu's first book in print: Probability Theory, Live!
Founded on valuable mathematical discoveries with a wide range of scientific applications, including probability theory applied to Powerball lotto game, software, real winning systems.
3. Powerball: Online Odds Calculator, Random Generator
• IonSaliuGenerator, version 7.0, January 2005 — The best random numbers, combinations generator, including Powerball.
• Version 7.0 of the super generator employs superior inner filtering for lotto games, including Powerball. The Saliusian filters are founded on the most significant parameters of probability theory and statistics. You'll notice on your lotto cards. The patterns follow more closely the patterns of real lottery drawings.
• IonSaliuCalculator, version 6.1, February 2004 — The best odds, probability calculator, including Powerball.
• And here is a sample of a statistical report for Powerball (number frequency). The report is for the 5/59 + 1/39 Powerball game format. Lottery software to rank lotto numbers by frequency, from hot to mild, to cold: FrequencyRank.EXE.
The Powerball Numbers Ranked by Frequency
File: LOTTERY\PowerBall\PaPB-59
Drawings Analyzed: 44 | Date: 06-07-2009
Frequency norms based on probabilities: 8.47% & 2.56%
R E G U L A R Numbers | P O W E R B A L L S
Rank Regular # Hits Percentage | Powerball Hits Percentage
1 23 9 20.45% 21 5 11.36%
2 20 7 15.91% 9 3 6.82%
3 7 7 15.91% 20 3 6.82%
4 30 7 15.91% 7 3 6.82%
5 42 7 15.91% 37 3 6.82%
6 6 6 13.64% 5 2 4.55%
7 32 6 13.64% 15 2 4.55%
8 16 6 13.64% 26 2 4.55%
9 45 6 13.64% 27 2 4.55%
....
53 29 1 2.27%
54 55 1 2.27%
55 17 1 2.27%
56 24 1 2.27%
57 36 1 2.27%
58 4 1 2.27%
59 11 0 0.00%
The Powerball Regular Numbers Ranked by Frequency - By Position
File: LOTTERY\PowerBall\PaPB-59
Drawings Analyzed: 44 | Date: 06-07-2009
Rank | Position 1 | Position 2 | Position 3 | Position 4 | Position 5 |
| Number Hits % | Number Hits % | Number Hits % | Number Hits % | Number Hits % |
1 | 2 5 11.36% | 20 4 9.09% | 30 3 6.82% | 49 4 9.09% | 56 5 11.36% |
2 | 7 5 11.36% | 10 3 6.82% | 33 3 6.82% | 41 3 6.82% | 59 5 11.36% |
3 | 5 4 9.09% | 15 3 6.82% | 18 2 4.55% | 42 3 6.82% | 45 4 9.09% |
4 | 1 4 9.09% | 6 3 6.82% | 20 2 4.55% | 37 3 6.82% | 52 3 6.82% |
5 | 6 3 6.82% | 23 3 6.82% | 22 2 4.55% | 32 2 4.55% | 58 3 6.82% |
6 | 3 3 6.82% | 26 3 6.82% | 23 2 4.55% | 33 2 4.55% | 54 3 6.82% |
7 | 8 3 6.82% | 30 3 6.82% | 26 2 4.55% | 43 2 4.55% | 44 2 4.55% |
8 | 16 3 6.82% | 22 2 4.55% | 28 2 4.55% | 44 2 4.55% | 42 2 4.55% |
....
55 | 55 0 0.00% | 55 0 0.00% | 55 0 0.00% | 55 0 0.00% | 18 0 0.00% |
56 | 56 0 0.00% | 56 0 0.00% | 56 0 0.00% | 26 0 0.00% | 19 0 0.00% |
57 | 57 0 0.00% | 57 0 0.00% | 57 0 0.00% | 4 0 0.00% | 20 0 0.00% |
58 | 58 0 0.00% | 58 0 0.00% | 58 0 0.00% | 58 0 0.00% | 1 0 0.00% |
59 | 59 0 0.00% | 59 0 0.00% | 59 0 0.00% | 59 0 0.00% | 22 0 0.00% |
•• View the charts showing the sums or sum-totals with the respective amount of combinations for this American (U.S.) multi-state lottery game: 5/59 + 1/35 sum-total chart: Powerball, Power Balls. The unique lottery and lotto software to plot the sum charts: Sums.EXE.
4. Useful Powerball Links and Resources
.
A results file (drawings) in Powerball from the beginning of current game format. The file is in LotWon format — ready to use by MDIEditor And Lotto WE.
Genuine Powerball wheels, balanced and superior from the standpoint of lexicographic index.
See a comprehensive directory of the pages and materials on the subject of lottery, lotto, software, systems, and wheels. If the page content is of interest to you, copy-and-paste to that lottery page of yours: SaliuLottery.txt or something similar. Copy as much as you can in that text file. By editing that page in your own words will result in a very effective Powerball lotto manual.
Presenting software to create free winning lotto, lottery strategies, systems based on mathematics. Get your lotto systems or wheels, the best lottery, lotto software, combinations, winning numbers.
Read a genuine analysis of Excel spreadsheets applied to lottery and lotto developing of software, systems, and strategies. Combining Excel analysis with powerful lottery and lotto software programmed by this author, Parpaluck.
Also applicable to LotWon lottery, lotto software; plus Powerball, Mega Millions, Euromillions.
Presenting software to create winning strategies, systems, wheels for Mega Millions.
Presenting software to create winning strategies, systems, wheels for Euromillions, Euromillónes, Euromillionen, Euromilhões.
(* The lotto system hit at least 4 (four) Powerball JACKPOTS as of August 18, 2007 (in a 20-drawing span: draw #3, #8, #9, #20). *)
The most advanced theory of lotto wheels or reduced lottery systems. Get also original lotto wheels for lotto games drawing 5, 6, or 7 numbers: Balanced, randomized, and free.
Remember to check the software downloads site:
Another program entirely dedicated to Powerball is UtilPB.exe. Other pieces of software that also work with Powerball:
SkipSystems.exe
FrequencyRank.exe
Sums.exe
Winners.exe
Sorting.exe
Shuffle.exe.
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