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Online Odds, Probability Calculator: Lotto, Powerball, Mega Millions, Lottery, Horse Racing, Roulette, Sports Betting, Soccer Pools 1X2, Euromillions

By Ion Saliu,
Founder of Gambling Mathematics, Lottery Mathematics

This is your tool if you want to accurately calculate online various odds or probabilities.

This is it: The best online odds, probabilities calculator that ever was!
First capture by the WayBack Machine (web.archive.org) on August 4, 2003.

IonSaliuCalculator, version 6.1, February 16, 2004

IonSaliuCalculator is an ActiveX control. It requires Microsoft Internet Explorer version 4 or later. Lately, Google Chrome and Firefox offer free extensions to mimic Internet Explorer (e.g. IE Tab) and thus run ActiveX controls. Also, click Allow Install and Allow Run at the security prompts. You might need add //saliu.com to your Trusted sites (via Tools, Internet Options, Security tab). The odds, probability calculator is guaranteed to be safe. The online application has been run billions of times by millions of lottery players, gamblers and math geeks around the world without any problem whatsoever. The only problem is, rarely, too many simultaneous online users.

The best online odds calculator covers a lot of territory: Pick games, lotto, keno, Powerball, Mega Millions, Euromillions, horse racing, sports betting, soccer pools, roulette.
The odds are calculated in one step as:
- exactly and -
- at least.

For example, a lotto game will require 3 parameters:
- the biggest number in the game (e.g. 49)
- numbers per combination (e.g. 6)
- pool size (eg play an 18-number system).

The odds calculated as EXACTLY in a lotto game '6/49':

 -  0 of 6 in 18 from 49  = 1 in 18.99 
 -  1 of 6 in 18 from 49  = 1 in 4.57 
 -  2 of 6 in 18 from 49  = 1 in 2.9 
 -  3 of 6 in 18 from 49  = 1 in 3.81 
 -  4 of 6 in 18 from 49  = 1 in 9.83 
 -  5 of 6 in 18 from 49  = 1 in 52.65 
 -  6 of 6 in 18 from 49  = 1 in 753.28 

 The odds calculated as AT LEAST in a lotto game '6/49':

 -  0 of 6 in 18 from 49  = 1 in 1 
 -  1 of 6 in 18 from 49  = 1 in 1.06 
 -  2 of 6 in 18 from 49  = 1 in 1.37 
 -  3 of 6 in 18 from 49  = 1 in 2.6 
 -  4 of 6 in 18 from 49  = 1 in 8.19 
 -  5 of 6 in 18 from 49  = 1 in 49.21 
 -  6 of 6 in 18 from 49  = 1 in 753.28 

The odds calculated as EXACTLY in a lotto game '6/49':

 -  0 of 6 in 6 from 49  = 1 in 2.29 
 -  1 of 6 in 6 from 49  = 1 in 2.42 
 -  2 of 6 in 6 from 49  = 1 in 7.55 
 -  3 of 6 in 6 from 49  = 1 in 56.66 
 -  4 of 6 in 6 from 49  = 1 in 1032.4 
 -  5 of 6 in 6 from 49  = 1 in 54200.84 
 -  6 of 6 in 6 from 49  = 1 in 13983816 

 The probabilities calculated as AT LEAST in a lotto game '6/49':

 -  0 of 6 in 6 from 49  = 1 in 1 
 -  1 of 6 in 6 from 49  = 1 in 1.77 
 -  2 of 6 in 6 from 49  = 1 in 6.62 
 -  3 of 6 in 6 from 49  = 1 in 53.66 
 -  4 of 6 in 6 from 49  = 1 in 1013.03 
 -  5 of 6 in 6 from 49  = 1 in 53991.57 
 -  6 of 6 in 6 from 49  = 1 in 13983816 

If pool size is set to numbers per combination (eg 6), the results will reflect the commonly used probabilities:

The probabilities (odds) for keno games are calculated by the same function as lotto, using three parameters. For example: 80, 20, 20.

The probability calculated for the pick-3 game.

The pick-3 game draws 3 digits from 0 to 9; e.g. 090.
The odds of the pick-3 game are:
- straight pick: 1 in 1000;
 - boxed: 1 in 220;
 - front/back pair: 1 in 100.

The probability calculated for the pick-4 game.

The pick-4 game draws 4 digits from 0 to 9; e.g. 0903.
The odds of the pick-4 game are:
- straight pick: 1 in 10,000;
 - boxed: 1 in 715;
 - front/back 3-digits: 1 in 1000.

The probability calculated for powerball games (12 possible odds elements).

 The odds calculated as EXACTLY in a Powerball game 
 '5/53 AND 1/42':

~ 0 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 1.72 
~ 0 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 70.39 
~ 1 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 3.02 
~ 1 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 123.88 
~ 2 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 17 
~ 2 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 696.85 
~ 3 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 260.61 
~ 3 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 10685 
~ 4 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 12248.66 
~ 4 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 502194.88 
~ 5 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 2939677.32 
~ 5 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 120526770 


 The probability calculated as AT LEAST in a Powerball game 
 '5/53 AND 1/42':

~ 0 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 1 
~ 0 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 42 
~ 1 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 2.48 
~ 1 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 104.14 
~ 2 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 15.56 
~ 2 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 653.33 
~ 3 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 249.08 
~ 3 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 10461.49 
~ 4 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 11907.41 
~ 4 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 500111.08 
~ 5 of 5 in 5 from 53  AND  0 of 1 in 1 from 42  = 1 in 2869685 
~ 5 of 5 in 5 from 53  AND  1 of 1 in 1 from 42  = 1 in 120526770 

The probability calculated for Euromillions games (18 possible odds elements).

Binomial Standard Deviation Formula and odds, probabilities online.


 The odds calculated as EXACTLY in a Euromillions game
 '5/50 AND 2/9':

~ 0 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 2.97 
~ 0 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 4.46 
~ 0 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 62.43 
~ 1 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 4.88 
~ 1 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 7.31 
~ 1 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 102.39 
~ 2 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 25.6 
~ 2 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 38.39 
~ 2 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 537.53 
~ 3 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 366.88 
~ 3 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 550.33 
~ 3 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 7704.58 
~ 4 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 16142.93 
~ 4 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 24214.4 
~ 4 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 339001.6 
~ 5 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 3632160 
~ 5 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 5448240 
~ 5 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 76275360 


 The probabilities calculated as AT LEAST in a Euromillions game 
 '5/50 AND 2/9':

~ 0 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 1 
~ 0 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 2.4 
~ 0 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 36 
~ 1 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 2.36 
~ 1 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 5.67 
~ 1 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 85.03 
~ 2 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 13.94 
~ 2 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 33.45 
~ 2 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 501.73 
~ 3 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 209.24 
~ 3 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 502.17 
~ 3 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 7532.62 
~ 4 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 9375.04 
~ 4 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 22500.11 
~ 4 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 337501.59 
~ 5 of 5 in 5 from 50  AND  0 of 2 in 2 from 9  = 1 in 2118760 
~ 5 of 5 in 5 from 50  AND  1 of 2 in 2 from 9  = 1 in 5085024 
~ 5 of 5 in 5 from 50  AND  2 of 2 in 2 from 9  = 1 in 76275360 

The odds calculated for horse races.

The odds in horseracing, 8 horses in the race:

 - to win probability (top 1) = 1 in 8 
 - exacta probability (top 2) = 1 in 56 
 - trifecta probability (top 3) = 1 in 336 
 - superfecta probability (top 4) = 1 in 1680 
 - quinfecta probability (top 5) = 1 in 6720 

The probability calculated for single zero and double zero roulette tables.

       Various odds at 0 and 00 roulette

 Type of Bet                Single 0     Double 0

 - straight-up (1 number):  1 in 37      1 in 38    
 - split (2 numbers):       1 in 18.5    1 in 19    
 - street (3 numbers):      1 in 12.3    1 in 12.7  
 - corner (4 numbers):      1 in 9.25    1 in 9.5   
 - fiveline (5 numbers):    1 in 7.4     1 in 7.6   
 - sixline (6 numbers):     1 in 6.2     1 in 6.3   
 - column (12 numbers):     1 in 3.1     1 in 3.2   
 - dozen (12 numbers):      1 in 3.1     1 in 3.2   
 - black/red (18 numbers):  1 in 2.06    1 in 2.11  
 - even/odd (18 numbers):   1 in 2.06    1 in 2.11  
 - low/high (18 numbers):   1 in 2.06    1 in 2.11  

The odds calculated for American sports betting; i.e. betting on one team in each game.

The odds calculated for soccer pools 1X2; i.e. one of three possible outcomes in each game; 1 = win for home team; 2= win for visiting team; X = tie (draw).

The AT LEAST odds in American sports betting, 5 games:

 - parlay probability 0 of 5  = 1 in 1 
 - parlay probability 1 of 5  = 1 in 2 
 - parlay probability 2 of 5  = 1 in 4 
 - parlay probability 3 of 5  = 1 in 8 
 - parlay probability 4 of 5  = 1 in 16 
 - parlay probability 5 of 5  = 1 in 32 


 The AT LEAST odds in soccer pools 1X2 for 13 games:

 -  0 of 13  = 1 in 1 
 -  1 of 13  = 1 in 3 
 -  2 of 13  = 1 in 9 
 -  3 of 13  = 1 in 27 
 -  4 of 13  = 1 in 81 
 -  5 of 13  = 1 in 243 
 -  6 of 13  = 1 in 729 
 -  7 of 13  = 1 in 2187 
 -  8 of 13  = 1 in 6561 
 -  9 of 13  = 1 in 19683 
 -  10 of 13  = 1 in 59049 
 -  11 of 13  = 1 in 177147 
 -  12 of 13  = 1 in 531441 
 -  13 of 13  = 1 in 1594323 

The following functions are also present in the online number, combination generator: IonSaliuGenerator.
- calculate the binomial standard deviation;
- calculate the fundamental formula of gambling: number of trials necessary for an event of individual probability p to appear with the degree of certainty DC;
- open a file in the rich text box;
- edit a file in the rich text box; or, edit the content created by an odds calculating function;
- save the file in the rich text box; or, save the content created by an odds calculating function;
- print a file in the rich text box; or, print to the default printer the content created by an odds calculating function;
- change the font of a file in the rich text box; select the contents of rich text box, then click the Font button.

The best online lottery, lotto, gambling, combination, random number generator Run also IonSaliuGen online ActiveX control. It is the best random number, combination generator: Lotto, Powerball, Lottery, Horse Races, Roulette, Sports Betting, Soccer Pools 1X2, Euromillions.

The best online odds calculator & lottery, lotto, gambling, combination, random number generator. Run both online ActiveX controls in one place, without much presentation - Online Odds, Probability Calculator, Random Numbers Combinations Generator: Lotto, Powerball, Mega Millions, Lottery, Horse Races, Roulette, Sports Betting, Soccer Pools 1X2, Euromillions.

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The Best Odds, Probability Calculator, version 6.1, February 2004

Ion Saliu's Theory of Probability Book founded on mathematics, also applied to odds calculating. Read Ion Saliu's first book in print: Probability Theory, Live!
~ Founded on valuable mathematical discoveries with a wide range of scientific applications, including the organic connection between probability theory and calculation of odds, probabilities in lottery, gambling, most games.

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