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Ion Saliu's Paradox Applied to Theory of Games

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Find software, programs for lottery, gambling, roulette, blackjack, casino, sport, sports, betting. The following resources represent the lotto, lottery, gambling, blackjack, roulette, sport betting at their best. The best theory — founded on the Fundamental Formula of Gambling — embodied in the best lotto, lottery, gambling, blackjack, roulette, sports betting software & theory. Incredibly, the best ever and most powerful lotto, lottery, gambling, blackjack, roulette software is free, freeware! Sure, you have checked many other lotto, lottery, gambling, blackjack, roulette links and resources. Feel free to do that. Unfortunately, it could cost you an arm and a leg. You might learn that you could pay thousands of dollars buying all kinds of lotto, lottery, gambling, blackjack, roulette software. In the end, all those lotto, lottery, gambling, blackjack, roulette software titles combined do not offer more than 10% of the features of Ion Saliu's lotto, lottery, gambling, blackjack, sports betting, roulette freeware! Lately, however, other software developers had no choice but offer some free versions of their lotto, lottery, gambling, blackjack, roulette, sports betting software. Insist on getting some shareware version, or demo, if freeware is not available. Trust but verify, and thus save your money!

Gambling, Mathematics applied to sports betting: Ion Saliu's Paradox.

For your convenience, a collection of so-called 'top lotto, lottery, gambling, blackjack, roulette, sport bet pages' in each category follows. There is a lot of garbage out there. Matter of fact, it's all garbage, except for very few bright spots on the dark side of the Moon… You right, check 'em out anyway, but always remember the Doctor in Occult Science of Lottery & Gambling Mathematics. He resides at You are always welcome, o wise player, bettor, thinker, and winner! I say wise, I meant wise! The ideal path to enlightenment in everything is: Formula(e), Data, Software. If none of the Troika-of-Truth element is present — definitely it's bull.

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• Ion Saliu's Paradox Applied to: Lotto, Lottery, Gambling

'Ion Saliu's Paradox of N Trials' is presented in detail at, especially the probability page and the mathematics of gambling formula. If p = 1 / N, we can discover an interesting relation between the degree of certainty DC and the number of trials N. The degree of certainty has a limit, when N tends to infinity. That limit is 1 - 1/e , or approximately 0.632...

If you play 1 roulette number for the next 38 spins, common belief was that you expected to win once. Not! Non! Only if you play 38 numbers in 1 spin, your chance to hit the winning number is 100%. There is an interesting table, which includes also 'The Free Roulette System #1" presented at the main roulette site.

If I play 1 pick-3 straight combination for 1000 drawings, my chance (degree of certainty) to hit the winning combination is approximately 0.632 (63.2%). On the other hand, if I play all 1000 pick-3 numbers in one draw, the chance is 100% that I'll hit the winning number. Of course, I still lose money because of the (monstrous) house edge. Things look very different now. The gain is 100 – 63.2 = approximately 37% when playing all the combinations in one drawing as opposed to playing one combination in 1000 draws.

Let's say one persistent pick-3 lottery player plays 10 tickets (straight combinations) each and every day of the year. The individual probability is now p=10/1000 = 1/100. The total cost amounts to 3650. What is the probability to hit at least one winning combination in one year (365 trials)? You can run my freeware SuperFormula, option 'L = At Least M Successes in N Trials'. The degree of certainty is 97.4%. It's not 100% yet! It's for real that none of 10 numbers you select hits on a particular day. But let's consider the degree of certainty 100% — therefore one success. Meanwhile, if I play 1000 tickets a draw in 3 drawings, I'll be assured of 3 successes.

There is a clear advantage of playing selectively 'more in few'. There is a mathematical advantage of playing lotto, lottery strategies as outlined at this web site. There is an indisputable advantage in skipping draws and saving the money for playing selectively relatively few drawings. This is the worst type of gambling: Spread one's bankroll over relatively long sessions. Casino gambling, in general, doesn't allow playing selectively. If you are at the table, you must play every roulette spin, the player is warned. But the player is allowed to increase the bet — the smart gamblers do so at rare but optimal moments. The worst of the worst is to piecemeal one's bankroll. Like blackjack players I've seen opening their wallets with over $1000 and chipping in for just $100. Then $100, and again, and again… They would have had a far better chance if chipping in at $1000 right from start!

The lotto and lottery systems that can be applied with my software follow Ion Saliu's Paradox of N Trials. The player waits for special moments when a strategy has a higher probability to come to life. The player does not play every drawing. Money is saved; the increased bankroll is spent more efficiently on occasions that prove to have a mathematical advantage.

Here is an illustrative table of Ion Saliu Paradox. It's founded on undeniable mathematics that even school children should comprehend.

Type of PlayWinning Chance %Cost in UnitsGain for Saliu's Paradox %
Play 1 # in 38 Spins 63.7% 38 -
Play 38 #s in  1 Spin 100% 38 1 - .637 = 36.3%
Play 34 #s in  1 Spin 89.5% 34 28.8%

The maximum gain comes when playing 38 numbers in one spin: 36.3%. Obviously, it makes no sense to play that way because of the house advantage. On the other hand, a so-called wise gambler is more than happy to play one number at a time. What he does is simply losing slowly! Not only that, but losing slowly is accompanied by losing more. That cautious type of gambling is like a placebo. A roulette system such as Free #1 scares most roulette gamblers. "Play 34 or 33 numbers in one shot? I'll have a heart attack!" In reality, the Free System #1 offers a 28.8% advantage over playing singular numbers in long sessions. That's mathematics, and there is no heart to worry about.

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