Lotto lottery odds analysis, software

Deepening the lotto, lottery odds analysis; new software

Written by Ion Saliu on November 23, 2001.
• For starters, I have written new odds calculating software: ODDS.EXE. It is available as a free download from the FTP site.
The program calculates the lotto odds based on the probability of the hypergeometric distribution. It calculates the probabilities (or favorable odds) for various combination lengths and for various prizes. For example, in a Keno game, they draw 20 winning numbers from a field of 80. The player can play a 10-number combination. What is the probability for the player to win EXACTLY '0 of 10' in 20 numbers drawn from a field of 80? The answer: 0.0457907 or '1 in 21.8'.
While working on the new version of “MDIEditor and Lotto”, I considered including a total Keno module. Total as in the lotto-6 format, for example. Comprehensive statistical analysis of a large number of filters followed up by employing the same filters in combination generators. I always devise the filters based on the probabilities of the respective patterns that create the respective filters! (Very clear, right?). I wrote previously how the “Two” filter eliminates a number of combinations directly proportionate with the probability of getting ' 2 of 6', for example.
In the Keno case, the number of possibilities is staggering. I needed software to automatically calculate the various pattern probabilities. I needed the same calculator for the PowerBall cases, also different from the standard lotto games (e.g. 6/49). The bottom line is I excluded the Keno cases from “MDIEditor and Lotto WE”. Keno requires a specific “MDIEditor and Lotto”, without any other types of games. The application includes, however, the PowerBall '5+1” and '6+1' for the first time in history!
ODDS.EXE is more than an upgrade to ODDSCALC.EXE. It offers a deeper analysis of various combination lengths, winning numbers drawn by the commissions, and a larger variety of prizes. The program is very easy to use, since I work very hard at the logical conception. The software must present the user with the most logical steps.
There are two options:
1) Standard lotto games and Keno
2) PowerBall games.

In the first option, the user wants to calculate the odds for situations such as: “exactly 4 winners in a 6-number combination, when they draw 6 winning numbers from a field of 49 numbers”. Or a Keno case: “exactly 10 winners in a 10-number combination, when they draw 20 winning numbers from a field of 80 numbers”.
The program displays the following answer:
· The probability of EXACTLY
'10 in 10' in 20 from 80 is:
.00000011
or
1 in 8,911,711.18

The PowerBall option calculates the odds INCLUDING the PowerBall. For example: the odds of getting “exactly 5 regular winners in a 5-number combination when they draw 5 regular numbers from a field of 49 AND a separate 6th PowerBall from a field of 42”. The program displays the following answer:
· The probability of EXACTLY
'5 in 5' in 5 from 49 AND a PowerBall 42 is:
.00000001
or
1 in 80089128
That situation is a clearer one. Other PowerBall situations are trickier. For example: the odds of getting “exactly 0 regular winners in a 5-number combination when they draw 5 regular numbers from a field of 49 AND a separate 6th PowerBall from a field of 42”. The first thing that crosses one's mind is: “The probability is 1 in 42, since there are 42 PowerBalls, right?” The trick is they say EXACTLY 0 (none) winners from the set of regular numbers. If they said AT LEAST the PowerBall, then the calculations would have been correct! · The probability of EXACTLY
'0 in 5' in 5 from 49 AND a PowerBall 42 is:
.01355999
or
1 in 73.75
Verification. One calculates first '0 of 5' as in a regular lotto-5 game:
· The probability of EXACTLY
'0 in 5' in 5 from 49 is:
.5695197
or
1 in 1.76
1.76 x 42 = 73.92 (the rounding induced a small difference). The more exact calculation is: 0.5695197 / 42 = 0.01355999 or '1 in 73.75'.

The way they present the odds of winning prizes is as tricky as the questions in TV game shows. Exactly, or at least, or at most, or more or less, or the least of the greater . . .

“For only Almighty Number is exactly the same, and at least the same, and at most the same.
May Its Almighty grant us in our testy day the righteous proportion of being at most unlikely the same and at least likely different. For our strength is in our differences.”

Ion Saliu

Download free software to calculate formulae, odds and probabilities from the FTP downloads site.

Software and formulae to calculate lotto odds using the hypergeometric distribution probability.

Primer: Probability, Odds, Formulae, Algorithm, Software Calculator.

Software to calculate probability, odds, standard deviation, binomial distribution.

THE OFFICIAL LOTTO ODDS ARE CORRECT.

RE: THE OFFICIAL LOTTO ODDS ARE CORRECT.

FFG, probability, odds, house edge, payouts, pick-3, fanaticism, creation.

FFG, probability, odds, house edge, payouts, dart roulette.

Combination '1,2,3,4,5,6': Probability and Reality.

Probability of perfect line shapes in nature.

Combination Rank Index Lexicographical Order: THE Comprehensive and Fast Algorithm.

Lottery Filter Probabilities – by James.

New thoughts, questions, and software (of course!).

Primer: win horseracing as pick-3, pick 4, digit lottery with the best free winning systems

Primer: winning sports betting, soccer, football, parlay, bet systems, software

Primer: Blackjack Basic Strategy, Mathematics, Card Counting

Primer: wheeling lotto numbers, playing wheels or abbreviated lotto systems

Primer on winning lotto, power ball, keno with the best free winning strategy

Primer on winning pick-3, pick 4, digit lottery with the best free winning strategy

Primer on winning lotto, powerball, keno, pick-3, pick-4, digit lottery, and gambling software

Of interest: Fundamental Formula of Gambling (FFG).

Of interest: Foundation of Fundamental Formula of Gambling (FFG).

Enter your search terms Submit search form

Web www.saliu.com

Subject:

Comments:
: : Lotto lottery odds analysis, software. For starters, I have written new odds calculating software: ODDS.EXE. It is available as a free download from the FTP site. The program calculates the lotto odds based on the probability of the hypergeometric distribution. It calculates the probabilities (or favorable odds) for various combination lengths and for various prizes. For example, in a Keno game, they draw 20 winning numbers from a field of 80. The player can play a 10-number combination. What is the probability for the player to win EXACTLY '0 of 10' in 20 Keno numbers drawn from a field of 80? While working on the new version of "MDIEditor and Lotto", I considered including a total Keno module. Total as in the lotto-6 format, for example. Comprehensive statistical analysis of a large number of filters followed up by employing the same filters in Keno combination generators. I always devise the filters based on the probabilities of the respective patterns that create the respective filters! (Very clear, right?). I wrote previously how the "Two" filter eliminates a number of combinations directly proportionate with the probability of getting ' 2 of 6', for example. In the Keno case, the number of possibilities is staggering. I needed software to automatically calculate the various pattern probabilities. I needed the same calculator for the PowerBall cases, also different from the standard lotto games (e.g. 6/49). The bottom line is I excluded the Keno cases from "MDIEditor and Lotto WE". Keno requires a specific "MDIEditor and Lotto", without any other types of games. The application includes, however, the PowerBall '5+1" and '6+1' for the first time in history! Or a Keno case: "exactly 10 winners in a 10-number lotto combination, when they draw 20 winning numbers from a field of 80 numbers". Analysis of "Lotto, lottery odds, analysis, software; calculate loto, lotto odds; lottery odds, loteria, loterie odds, probability." The lottery software calculator displays the following answer: · The probability of EXACTLY; '10 in 10' in 20 from 80 is: The PowerBall option calculates the odds INCLUDING the PowerBall. For example: the odds of getting "exactly 5 regular winners in a 5-number combination when they draw 5 regular numbers from a field of 49 AND a separate 6th PowerBall from a field of 42". The program displays the following answer: · The probability of EXACTLY. Study on Lotto, lottery odds, analysis, software; calculate loto, lotto odds; lottery odds, loteria, loterie odds, probability. That situation is a clearer one. Other PowerBall situations are trickier. For example: the odds of getting "exactly 0 regular winners in a 5-number combination when they draw 5 regular numbers from a field of 49 AND a separate 6th PowerBall from a field of 42". The first thing that crosses one's mind is: "The probability is 1 in 42, since there are 42 PowerBalls, right?" The trick is they say EXACTLY 0 (none) winners from the set of regular numbers. If they said AT LEAST the keno, then the calculations would have been correct! The probability of EXACTLY '0 in 5' in 5 lotto numbers from 49 AND a PowerBall 42 is: Verification. One calculates first '0 of 5' as in a regular lotto-5 game· The probability of EXACTLY; '0 in 5' in 5 from 49 is: .5695197 1.76 x 42 = 73.92 (the rounding induced a small difference). The more exact calculation is: 0.5695197 / 42 = 0.01355999 or '1 in 73.75'. The way they present the odds of winning Keno prizes is as tricky as the questions in TV game shows. Exactly, or at least, or at most, or more or less, or the least of the greater . . .

Socrates Home Search Ion, Help! Contact Ion What's New Fundamental Formula of Gambling Probability Theory Combinatorics, Permutations Statistics Software Standard Deviation Lottery, Lotto, Software, Systems Spreadsheets, Lotto, Lottery Blackjack Strategy Roulette Systems Horse Racing Software Sports Betting, Football, Software Baccarat Theory, Software Ion Saliu's Book of Records Random Generator, Odds Calculator Newest Writings Download Free Software Content Categories All Pages, Sitemap

Copyright ©1997-2007, Ion Saliu. All rights reserved worldwide. Reproduction, in any form, of the contents of this site is strictly prohibited. Read important copyright information regarding web site www.saliu.com