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 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, 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).
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:
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 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. We call the cutoff value FFG median. 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 8, for example. That is a total of 9 values for a skip. The user would end up with some 15 to 25 Powerball regular numbers. In the final step, the player would wheel the numbers by applying a reduced lottery system (lotto 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 past results, drawings of Powerball from the beginning of the lottery game and statistical reports of the Powerball lotto numbers ranked by frequency.
• 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.
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.
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.
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