The American lottery game of Mega Millions, MegaMillions 5/56 + 1/46.

Mega Millions: Odds Calculator, Online Random Generator, Numbers, Combinations, Strategy, Systems

By Ion Saliu, Mega Programmer At-Large

Math, Mathematics of Mega Millions: Odds Calculator, Online Random Generator.

I. Introduction to Mega Millions: Calculate the Odds
II. Mega Millions Winning Strategy: Pick the Numbers Most Likely to Hit in the Next Lotto Drawing
III. Mega Millions Resources: Online Random Number Generator, Odds Calculator, Software
IV. Useful Mega Millions Links and Resources

Power-Ball: Odds Calculator, Online Random Generator, Numbers and Combinations.

1. Introduction to Mega Millions, Mega-Millions: Calculate the Odds

Mega Millions, Mega-Millions: Software, systems, odds, number generator. The following is a presentation of software to create winning strategies, systems, wheels for Mega Millions, the multi-jurisdiction U.S. lottery game. Get your free wheels, the best software, combinations or number generator and odds calculator online, right here.

Mega Millions is a two-ballset lottery game, but somehow different from Euromillions-type lotto games. Both Mega Millions-type and Euromillions-type are two lotto games in one. Like Euromillions, the first drawing machine of Mega Millions draws five regular lotto numbers (from 1 to 56, in this case). But the second machine draws just 1 ball, also like regular lotto numbers, from 1 to 46. The last Mega Ball can be equal to any of the five regular numbers.

The odds of Mega Millions are calculated for two dependent lotto games. The first part of the game, 5 of 56, 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 Mega Millions probabilities (odds):

The odds calculated as EXACTLY in a Mega Millions game 5/56 AND 1/46:

0 of 5 in 5 from 56 AND 0 of 1 in 1 from 46 = 1 in 1.66 
0 of 5 in 5 from 56 AND 1 of 1 in 1 from 46 = 1 in 74.8 
1 of 5 in 5 from 56 AND 0 of 1 in 1 from 46 = 1 in 3.13 
1 of 5 in 5 from 56 AND 1 of 1 in 1 from 46 = 1 in 140.63 
2 of 5 in 5 from 56 AND 0 of 1 in 1 from 46 = 1 in 18.75 
2 of 5 in 5 from 56 AND 1 of 1 in 1 from 46 = 1 in 843.75 
3 of 5 in 5 from 56 AND 0 of 1 in 1 from 46 = 1 in 306.25 
3 of 5 in 5 from 56 AND 1 of 1 in 1 from 46 = 1 in 13,781.3 
4 of 5 in 5 from 56 AND 0 of 1 in 1 from 46 = 1 in 15,312.55 
4 of 5 in 5 from 56 AND 1 of 1 in 1 from 46 = 1 in 689,064.85 
5 of 5 in 5 from 56 AND 0 of 1 in 1 from 46 = 1 in 3,904,700.8 
5 of 5 in 5 from 56 AND 1 of 1 in 1 from 46 = 1 in 175,711,536 

The probability to win the jackpot is 1 in 175,711,536. Evidently, the Mega Millions game offers far fewer prizes than the total number of odds elements.

The new Mega Millions 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, Powerball, and Mega Millions.

The Powerball_6 module generates optimized combinations for Mega Millions, 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.

Generate online free random optimized Megamillion lottery numbers.

The computers are one reason why they change the lottery game formats so often. I remember the Pennsylvania lotto game of the 1980s. 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!

Mega Millions Lotto Software, Systems, Strategy.

2. Mega Millions, Mega-Millions 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 Mega Millions 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 Mega Millions. But you can apply the general lotto and lottery strategy I present on the main strategy page. You can divide Mega Millions 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 Mega Millions-type strategies based on the first five regular lotto numbers.

The mathematics of lotto and lottery, including Mega Millions, is founded on the Fundamental Formula of Gambling (FFG):

        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 Mega Millions game draws 5 regular lotto numbers from a field of 59 numbers, the individual probability is equal to 5/56. That is very important parameter. It is thoroughly analyzed at this web site, specifically on the main page dedicated to lottery strategies.

The lotto numbers, including Mega Millions, 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 software program also calculates several types of Mega Millions odds, lottery probabilities based on hypergeometric distribution probability.

In 55% of the wins, an individual Mega Millions 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 Mega Millions strategy, the user would run the frequency reporting in Ion Saliu's free 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 lotto Mega Millions regular numbers. 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 Mega Millions numbers. In the final step, the lotto player would wheel the numbers by applying a reduced lotto system.

You can download from this site free software that analyzes the skips for the Mega Millions 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 Mega Millions is known to the world as MDIEditor And Lotto WE. It has specific functions that crunch the Mega Millions: 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 Mega Millions combination generating.

• Not to mention, MDIEditor And Lotto WE is totally free to run for unlimited time (for registered members of the software download site)!

The most comprehensive lotto software also works with Mega Millions games: 5 regular lotto numbers plus 1 Mega Ball, or Megaball.

This site offers also the best, bar none, Mega Millions 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 Mega Millions combinations are optimized. You won't find such feature anywhere else.

Other valuable resources include the results (draws) of Mega Millions from the beginning of the lottery game and statistical reports of the Mega Millions lotto numbers ranked by frequency. Such resources require paid membership (a reasonable fee valid for the lifetime of this Web site).

Mega Millions: The best winning systems, strategies, software.

Megamillion, Mega Millions: Mathematics, systems, software, winning combinations.
Ion Saliu's Theory of Probability Book founded on mathematics, inclusive MegaMillion, Mega Millions. 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 Mega Millions lotto game, software, real winning systems.

Mega Millions: Software, Strategy, Systems, Odds.

Mega Millions: Software, Systems, Combinations.

3. Mega Millions: Online Odds Calculator, Random Numbers Generator

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.

• IonSaliuGenerator, version 7.0, January 2005 — The best random numbers, combinations generator, including Mega Millions.

Version 7.0 of the super generator employs superior inner filtering for lotto games, including Mega Millions. 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.

Click the PowerBall_6 button to generate lotto combinations for Mega Millions. Just enter the correct parameters for your Mega Millions game (the biggest regular number; e.g. 56; the biggest Power Ball; e.g. 46).

• IonSaliuCalculator, version 6.1, February 2004 — The best odds, probability calculator, including Mega Millions.

Click the Powerball button to calculate the odds for Mega Millions game. Just enter the correct parameters for your Mega Millions game (the biggest regular number; e.g. 56; the biggest Power Ball; e.g. 46).

Mega Millions: Odds Calculator, Online Random Generator, Numbers, Combinations.

And here is a sample of a statistical report for Mega Millions (number frequency). The report is for the '5/56 + 1/46' Mega Millions game format. Lottery software to rank lotto numbers by frequency, from hot to mild, to cold: FrequencyRank.EXE.


                The Mega Millions Numbers Ranked by Frequency 
                File: LOTTERY\MegaMillions.dat
                Drawings Analyzed:  417 | Date: 06-20-2009
                Frequency norms based on probabilities: 8.93% & 2.17%


         R E G U L A R   Numbers       |       M E G A   B A L L S

 Rank  Regular #  Hits   Percentage    |   Mega Ball  Hits   Percentage

   1      14       48     11.51%               7       14      3.36%
   2      36       48     11.51%              35       14      3.36%
   3      46       47     11.27%              36       14      3.36%
   4      48       47     11.27%              22       13      3.12%
   5       5       46     11.03%              38       13      3.12%
   6      53       46     11.03%              42       13      3.12%
   7      24       45     10.79%              21       12      2.88%
   8      52       45     10.79%               2       12      2.88%
   9      25       45     10.79%              10       12      2.88%
....
  50      11       31      7.43%
  51      34       30      7.19%
  52      23       30      7.19%
  53      37       28      6.71%
  54      49       26      6.24%
  55       6       26      6.24%
  56      47       23      5.52%



         The Mega Millions Regular Numbers Ranked by Frequency - By Position
         File: LOTTERY\MegaMillions.dat
         Drawings Analyzed:  417 | Date: 06-20-2009


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

      1  |   2    38   9.11% |  13    23   5.52% |  26    19   4.56% |  46    23   5.52% |  52    35   8.39% |
      2  |   5    35   8.39% |  12    21   5.04% |  20    18   4.32% |  42    20   4.80% |  56    34   8.15% |
      3  |   1    33   7.91% |  17    19   4.56% |  24    16   3.84% |  39    20   4.80% |  54    33   7.91% |
      4  |   3    28   6.71% |  15    18   4.32% |  35    16   3.84% |  48    20   4.80% |  53    32   7.67% |
      5  |   7    27   6.47% |  25    18   4.32% |  37    16   3.84% |  43    19   4.56% |  55    31   7.43% |
      6  |   9    27   6.47% |  24    17   4.08% |  31    15   3.60% |  36    17   4.08% |  51    27   6.47% |
      7  |  14    25   6.00% |  16    17   4.08% |  22    15   3.60% |  45    16   3.84% |  50    24   5.76% |
      8  |   4    22   5.28% |  20    16   3.84% |  23    15   3.60% |  38    16   3.84% |  48    22   5.28% |
      9  |   6    21   5.04% |  14    16   3.84% |  36    14   3.36% |  40    16   3.84% |  44    18   4.32% |
....
     51  |  51     0   0.00% |  51     0   0.00% |   1     0   0.00% |   4     0   0.00% |   7     0   0.00% |
     52  |  52     0   0.00% |  52     0   0.00% |   6     0   0.00% |   5     0   0.00% |   8     0   0.00% |
     53  |  53     0   0.00% |  53     0   0.00% |   2     0   0.00% |   6     0   0.00% |   9     0   0.00% |
     54  |  54     0   0.00% |  54     0   0.00% |   3     0   0.00% |   1     0   0.00% |  10     0   0.00% |
     55  |  55     0   0.00% |  55     0   0.00% |  55     0   0.00% |   8     0   0.00% |  11     0   0.00% |
     56  |  56     0   0.00% |  56     0   0.00% |  56     0   0.00% |  56     0   0.00% |  12     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: 5/56 + 1/46 sum-total chart: Mega Millions, Megamillion. The unique lottery and lotto software to plot the sum charts: Sums.EXE.

Mega Millions, Mega-Millions: Software, Systems, Combinations.

4. Useful Mega Millions Links and Resources

Sign up to download the best MegaMillion software, plus number frequency, statistics Mega Millions.

Win at Mega Millions: Software, systems, generate combinations, calculate odds.

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