Study mathematics of the American lottery game of Powerball, Power Ball.

Powerball: Odds Calculator, Online Random Generator, Software, Numbers, Combinations, Strategy, Systems

By Ion Saliu, Founder of Powerball Mathematics

Learn math, mathematics of Powerball: Odds calculator, online random generator.

I. Introduction to Powerball: Calculate Odds
II. Powerball Winning Strategy: Pick Numbers Most Likely to Hit in the Next Lotto Drawing
III. Powerball Online Random Number Generator, Odds Calculator
IV. Top Powerball Numbers Ranked by Frequency
V. Powerball Resources, Software, Systems, Strategies

Get software, winning systems, strategies, wheels for Powerball lotto.

1. Introduction to Powerball, Power Ball: Calculate the Odds

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 following is a rundown of the Powerball probabilities (odds):

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, especially as to employ the superior innate filtering for lotto games, including 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 to hit the jackpot). According to the Fundamental Formula of Gambling (FFG), the chance to hit is lower in the beginning. We must run closer to the FFG median to have the 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. A higher number of repetitions get you closer to that highly elusive winning combination (worth over half billion dollars sometimes).

Founder of Powerball mathematics created optimized online random numbers generator.

Get some free lotto software, systems, strategy for Powerball or even Powerpall.

2. Powerball 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:

        log(1 - DC)
N = ----------------
       log(1 - p)

In the Fundamental Table of Gambling (FTG) there is a column p=1/8 that describes exactly a lotto game drawing 6 winning numbers from a field of 48 numbers. 6 divided by 48 is 1/8 or 0.125. That's how you calculate the probability p, when considering one lotto number at a time. If the Powerball game draws 5 regular lotto numbers from a field of 69 numbers, the individual probability is equal to 5/69. That is very important parameter. It is thoroughly analyzed at this Web site, specifically on the main page dedicated to lottery strategies.

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.

The best lotto software also works with Powerball games: 5 regular lotto numbers plus 1 Power Ball.

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 past results, drawings of Powerball from the beginning of the lottery game and statistical reports of the Powerball lotto numbers ranked by frequency.

We must reduce the huge number of combinations in Powerball with special software, systems.

3. Powerball: Online Odds Calculator, Random Numbers Generator

IonSaliuGenerator — The best random numbers, combinations generator, including Powerball

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.

IonSaliuCalculatorEuromillions — The best odds, probability calculator, including Powerball

Online random generator generates optimized numbers, combinations for Powerball.

4. Best Powerball Numbers Based on Frequency

And here are samples of statistical reports for Powerball (number frequency). The reports represent the 5/69 + 1/26 Powerball game format. Of course, the stats vary from period to period. The statistical reports for all numbers can and should be updated to the last drawing. Also, the reporting can be done for any parpaluck: Number of drawings analyzed. The best available lottery software to rank lotto numbers by frequency, from hot to mild, to cold is FrequencyRank.EXE.

The first graphic shows the Top 10 Powerball numbers ranked by frequency regardless of position.

                The Powerball 5/69 & 1/26 Numbers Ranked by Frequency 
                File: C:\Powerball\DATA
                Drawings Analyzed:  85    Date: 07-28-2016
                Frequency norms based on probabilities:   7.25% &   3.85%

         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      32       12     14.12%               6        6      7.06%
   2      40       12     14.12%              10        6      7.06%
   3      64       12     14.12%              25        6      7.06%
   4      12       11     12.94%               3        5      5.88%
   5      69       11     12.94%              17        5      5.88%
   6      62       10     11.76%               9        5      5.88%
   7      23       10     11.76%               5        4      4.71%
   8      52       10     11.76%              18        4      4.71%
   9      47        9     10.59%              19        4      4.71%
  10      27        9     10.59%              21        4      4.71%

The second graphic shows the Top 10 Powerball numbers ranked by frequencies position by position.

                The Powerball 5/69 & 1/26 Numbers Ranked by Frequency - By Position
                File: C:\Powerball\DATA
                Drawings Analyzed:  85    Date: 07-28-2016

    Rank     Position 1         Position 2         Position 3         Position 4         Position 5     
          Number Hits   %    Number Hits   %    Number Hits   %    Number Hits   %    Number Hits   %   

      1     2     8   9.41%   12     6   7.06%   32     5   5.88%   59     6   7.06%   69    11  12.94% 
      2     3     7   8.24%   25     6   7.06%   40     4   4.71%   52     5   5.88%   64    10  11.76% 
      3     5     7   8.24%   27     6   7.06%   41     4   4.71%   60     5   5.88%   68     7   8.24% 
      4     4     6   7.06%   28     5   5.88%   25     3   3.53%   54     4   4.71%   62     7   8.24% 
      5    11     6   7.06%   23     4   4.71%   29     3   3.53%   46     3   3.53%   67     6   7.06% 
      6    10     5   5.88%   20     3   3.53%   31     3   3.53%   47     3   3.53%   63     5   5.88% 
      7    12     5   5.88%   22     3   3.53%   15     3   3.53%   50     3   3.53%   57     4   4.71% 
      8    14     5   5.88%   30     3   3.53%   33     3   3.53%   31     3   3.53%   65     4   4.71% 
      9     7     4   4.71%   32     3   3.53%   34     3   3.53%   32     3   3.53%   66     4   4.71% 
     10    16     4   4.71%   40     3   3.53%   37     3   3.53%   58     3   3.53%   52     3   3.53% 

•• View the charts showing the sums or sum-totals with the respective amount of combinations for this American (U.S.) multi-state lottery game: Powerball Sums chart. The unique lottery and lotto software to plot the sum charts is Sums.EXE.

Powerball lottery game has gigantic odds calculated by the best probabilities calculator.

5. Useful Powerball Links and Resources

Win Powerball with mathematical systems, strategy, wheels combination generators, odds calculators.

Creator of Powerball mathematics offers best software, systems, odds calculators for Powerball.

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