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 69, in this case). But the second machine draws just 1 ball, also like regular lotto numbers, from 1 to 26. 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 69, 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 odds calculated as EXACTLY in a Powerball game 5/69 AND 1/26: 0 of 5 in 5 from 69 AND 0 of 1 in 1 from 26 = 1 in 1.53 0 of 5 in 5 from 69 AND 1 of 1 in 1 from 26 = 1 in 38.32 1 of 5 in 5 from 69 AND 0 of 1 in 1 from 26 = 1 in 3.68 1 of 5 in 5 from 69 AND 1 of 1 in 1 from 26 = 1 in 91.98 2 of 5 in 5 from 69 AND 0 of 1 in 1 from 26 = 1 in 28.05 2 of 5 in 5 from 69 AND 1 of 1 in 1 from 26 = 1 in 701.33 3 of 5 in 5 from 69 AND 0 of 1 in 1 from 26 = 1 in 579.76 3 of 5 in 5 from 69 AND 1 of 1 in 1 from 26 = 1 in 14,494.11 4 of 5 in 5 from 69 AND 0 of 1 in 1 from 26 = 1 in 36,525.17 4 of 5 in 5 from 69 AND 1 of 1 in 1 from 26 = 1 in 913,129.18 5 of 5 in 5 from 69 AND 0 of 1 in 1 from 26 = 1 in 11,688,053.52 5 of 5 in 5 from 69 AND 1 of 1 in 1 from 26 = 1 in 292,201,338
The probability to win the jackpot is 1 in 292,201,338. 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 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 online 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 the 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 Powerball combinations. Chances are they were not winners. But you didn't play them either, so you saved money.
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:
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 mathematical 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 powerful 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.
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 based on statistical parameters. 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.
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.
• Nota bene – If you do not see the two controls (online applications) as the image in section 1, please follow the instructions on the dedicated page:
Probability, Odds Calculator, Random Combinations Generator.
• 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.
• 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.
Another program entirely dedicated to Powerball is UtilPB.exe. Better still, run Lotto2Games51.EXE: Special upgrade to the utility software for two-in-one (5+1) lotto games: Powerball, Mega Millions, SuperLotto.
Other pieces of software that also work with Powerball:
SkipSystems.exe
FrequencyRank.exe
Sums.exe
Winners.exe
Sorting.exe
Shuffle.exe.
| Home | Search | New Writings | Odds, Generator | Contents | Forums | Sitemap |