Quote from: RealBitcoin on November 17, 2015, 06:52:54 PM

Quote from: Patatas on November 17, 2015, 05:44:26 PM

Assuming if you've a valid point and your theories are very accurate why would you say "it all depends on luck".If it all depends on luck it dissolves the entire point of your mathematical notations.However you can't live a life with double standards as Einstein says "Live life like everything is a miracle or nothing is a miracle".You just did that by saying its based on mathematical expression in one of your posts and not supporting it by saying "it all depends on luck".

That is not how probability works. Probability follows a pattern, and luck is only the outcome of 1 variable, or a random pattern in the distribution that is unique to your situation.

https://en.wikipedia.org/wiki/Central_limit_theorem
https://en.wikipedia.org/wiki/Law_of_large_numbers

In your case ,the concept of Mutually exclusive and independent events seems more accurate as we have multiple variables and different outcomes .Lets start by considering definition of Mutually exclusive events

Two events are said to be independent if the result of the second event is not affected by the result of the first event.

If A and B are independent events, the probability of both events occurring is the product of the probabilities of the individual events
Hence,If A and B are independent events,
P(A and B) = P(A) P(B)
This does satisfy your mathematical notion of Winning in Gambling in long run is possible but disagree with the fact as luck is to be considered as a positive entity in the process.