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Quote: Originally posted by Boney526 on Jan 6, 2013
It's so nice that you guys can make up your own odds and then think you have them.
I wish I could live in such blissful ignorance.
Another key theory developed in this part is the probability of achieving at least a certain number of successes from a number of binary events, today named Bernoulli trials,[14] given that the probability of success in each event was the same. Bernoulli shows through mathematical induction that given a the number of favorable outcomes in each event, b the number of total outcomes in each event, d the desired number of successful outcomes, and e the number of events, the probability of atleast d successes is
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Quote: Originally posted by CajunWin4 on Jan 6, 2013
It's just laughable to me !! These Peole are saying " It can't be done and it has been done many times beating these games ." Be it a 5 out 5 Jackpot Prediction Win or 4 out 5 , 3 out 5 and 2 out 5 Wins in Pick 5 games . It just ahows use how short sighted these people are !!!
What's the possibility of you ever adding something constructive to the conversation?1:45,057,474
Boney is like a kid sticking hiskid in his ears going "LALALALALALALALALALALALALA I CANT HEAR YOU I CANT HEAR YOU LALALALALAALA"
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Quote: Originally posted by LottoBoner on Jan 6, 2013
Another key theory developed in this part is the probability of achieving at least a certain number of successes from a number of binary events, today named Bernoulli trials,[14] given that the probability of success in each event was the same. Bernoulli shows through mathematical induction that given a the number of favorable outcomes in each event, b the number of total outcomes in each event, d the desired number of successful outcomes, and e the number of events, the probability of atleast d successes is
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Quote: Originally posted by LottoBoner on Jan 6, 2013
Boney is just like cyper. A traitor to the cause.
The refinement of Bernoulli's Golden Theorem, regarding the convergence of theoretical probability and empirical probability, was taken up by many notable later day mathematicians like Poisson, Chebyshev, Markov, Borel, Cantelli, Kolmogorov and Khinchin. The complete proof of the Law of Large Numbers for the arbitrary random variables was finally provided during first half of 20th century.
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Quote: Originally posted by LottoBoner on Jan 6, 2013
The refinement of Bernoulli's Golden Theorem, regarding the convergence of theoretical probability and empirical probability, was taken up by many notable later day mathematicians like Poisson, Chebyshev, Markov, Borel, Cantelli, Kolmogorov and Khinchin. The complete proof of the Law of Large Numbers for the arbitrary random variables was finally provided during first half of 20th century.
Finally, Thomas Bayes wrote an essay discussing theological implications of de Moivre's results: his solution to a problem, namely that of determining the probability of an event by its relative frequency, was taken as a proof for the existence of God by Bayes.[30] Finally in 1812, Pierre-Simon Laplace published his Théorie analytique des probabilités in which he consolidated and laid down many fundamental results in probability and statistics such as the moment generating function, method of least squares, inductive probability, and hypothesis testing, thus completing the final phase in the development of classical probability. Indeed, in light of all this, there is good reason Bernoulli's work is hailed as such a seminal event; not only did his various influences, direct and indirect, set the mathematical study of combinatorics spinning, but even theology was impacted.