Published in January 2016.
The two online ActiveX controls have been some of the most popular destinations to my site: Odds Probability Calculator and Generator of Numbers, Combinations. In the early 2000s the controls were downloaded 5000+ times a week. It is currently 200 downloads a week! O tempora! O mores!
There was one problem: the ActiveX controls only ran in the Internet Explorer browser. The problem was minor in the beginning as Internet Explorer commanded 90% of the browser market. Eventually, Internet Explorer was more and more stigmatized by security vulnerabilities. That opened the door to other browsers. At this time of writing, my Web site stats show Internet Explorer (6%) way behind Google Chrome (37%), Mozilla Firefox (27%) and Safari (22%).
Microsoft themselves want to "kill" Internet Explorer! Windows 10 came with a new browser, Edge, which is far worse than Internet Explorer. Edge is a stripped down browser, with no possibility of add-ons. For example, a password manager is a must for Internet surfing nowadays. Microsoft made an effort to hide Internet Explorer in Windows 10. Many Windows 10 users don't even know that Internet Explorer is still there!
At the same time, I've always received complaints from visitors to my Web site that they were unable to use a much touted resource. Some of them are downright hateful of Internet Explorer! Others have found it difficult to run the two Activex controls when my site is very busy. It has been the case, for example, during this Powerball frenzy of January 2016. Many lottery players want to run the best there is number, combination generator for Powerball. I checked it meself today: the page Online Random Number Generator, Odds Calculator for Lottery, Gambling froze at one point!
Using the odds (probability) calculator is as easy as it can be. The introductory screen is very clear, with command buttons clearly identified. Every command button has also tooltips for more details. Speaking of Powerball frenzy: Click on the button labeled Powerball to have the most comprehensive odds calculations. The probabilities are calculated as exactly and as at least, from 0 of 5 from 69 plus the Power Ball to 5 of 5 from 69 plus the Power Ball.
However, a lottery player can play a pool of numbers, mainly intended as a lotto wheel. For example, in the case of a 12-number pool, the odds to hit the jackpot become:
By the way: You might want to try the best 12-number lotto wheel of all time (another freebie courtesy of yours truly, Parpaluck).
The number combination generator too is very easy to use. The introductory screen is very clear, with command buttons clearly named. Every command button has also tooltips for further details. Speaking of Powerball frenzy: Click on the button labeled PowerBall-6 to generate 1000 combinations. This means a game with 5+1=6 numbers. In good old days I added also another sort of game: PowerBall_7 (6&1=7 numbers).
The combinations are optimized by applying innate filters (my secret, mind you!) The feature applies to the following lotto jackpot games: Lotto 5, Lotto 6, Lotto 7, PowerBall-6, PowerBall-7, Keno 10/80. The Powerball 6 function represents most, if not all, two-in-one lotto games in the world: Mega Millions, California SuperLotto, Thunderball (U.K.), etc. You just type the corresponding parameters; e.g. 75 and 15 for the U.S. multistate game of Mega Millions. The application saves your parameters for the next run.
The pick 3 digit lottery function also proves undeniably the Ion Saliu Paradox. The game has a probability p = 1/1000. The program generates 1000 straight sets. You save the combinations to a file and purge the duplicates. You will notice that around 63.2% of the pick lottery sets are unique — exactly what the Ion Saliu Paradox predicates.
The end of the roulette outcome file shows very interesting statistics. The stats undeniably prove the fallacy of the gambler's fallacy. You will never — ever — see a gambler's fallacy type of discrepancy between outcomes. For example, the proportion of black numbers and red numbers falls within one standard deviation from the norm more often than not. The results are always very close to what probability formulas calculate.