ok. im going to address your points one by one.
1. Given what we have already said, the following can be established as fact;
#the amount of spins needed to know if you will CONSISTANTLY PROFIT with ABSOLUTE CERTAINTY is INFINITE
#On ANY BET at the roulette table the odds for return are set and expected value are set
#There are 8 DIFFERENT TYPES OF BET YOU CAN MAKE WHICH IF MADE IN COMBINATION WITH EACH OTHER OFFER AN INFINATE MULTIDTUDE OF POSSIBILITIES OF BET FROM FROM SPIN TO SPIN
#REGARDLESS of WHICH BET you make you can never know with ABSOLUTE CERTAINTY which ONE RESULT OUT OF THE 37 OR 38 WILL APPEAR..
#IF a LOSS is made, THEN the ONLY way to RECOUP that LOSS and thereby fulfill the statement clause "CONSISTANTLY PROFIT" is to make a further bet, this is what makes the amount of spins infinate.
# Because the odds are FIXED, IF the return on a CONSTANT BET that you make does not cover any potential loss you may make, then REGARDLESS OF WHETER YOU WIN AT ANY POINT YOU WILL STILL ALWAYS BE IN A NEGATIVE EQUITY POSITION, BECAUSE BY NOT ADJUSTING YOUR NEXT BET TO FACTOR IN THE RECOUPMENT OF YOUR LOSS, YOUR LOSS BECOMES JUST A LOSS AND WILL ALWAYS BE JUST THAT.
#So now, given that in order to profit with ABSOLUTE CERTAINTY, YOU MUST adjust your BET to recoup your losses AND THIS ADUSTMENT MAY HAVE TO BE MADE EVERY TIME YOU MAKE A BET DEPENDING ON WHETHER YOU WIN OR LOSE, AND there are an INFINITE number of ways to do this AND that the configuration for the ORDER in which you are asked make these adjustments is UNKNOWN because it is DETERMINED by a RANDOMNESS which is INCALCUABLE, AND that this must be done an INFINITE AMOUNT OF TIMES.....
WITH SOO MANY VARIABLES AND NO ENDPOINT TO THE CALCULATION, HOW CAN YOU KNOW WITH ABSOLUTE CERTAINTY THAT YOU WILL CONSISTANTLY MAKE A PROFIT?
to me this question has no answer, It is based on a series and set of decision problems where the input to the equation is infinitely variable at each step based upon the last result and also has an infinite runtime..
By the very definition of the word INFINITE, because you would have to play FOREVER, you would never have an ENDPOINT for the equation to either show YES you have consistantly profitted or NO you havent.
THEREFORE, YOU COULD START TO CALCULATE BUT WITH NO ENDPOINT TO YOUR CALCULATION, HOW DO YOU GET AN ANSWER?
AND EVEN IF YOU DID GET AN ANSWER, WOULD YOU BE ABLE TO VERIFY YOUR ANSWER WAS CORRECT IN THE SAME TIME IT TOOK YOU TO FIND THE SOLUTION IN THE FIRST PLACE?
Again, im unsure if what i say is either right or makes true sense, but this question i pose is by no means EASY to answer, i agree that it is P, but given what i put above, i argue that it is in fact a very complex question and subsequent equation that makes it difficult enough to be placed in the NP classification.
I probably sound really dumb, or confused with what i say, and i thank you soo much for bearing with me. Please could you address my points above one by one so that i can properly understand what you are trying to say to me. im a relatively smart guy, but every once in a while need it laid out as if i was a 5 year old in order to fully get what it is im trying to understand..
In response to your points 2, 3, and 4, the study of roulette is actually my area of expertise so there is little you can tell me, factually or mythically that i dont already know. It would be unfair of me to say you are wrong and not offer an arguement based on proof, but i disagree with all of what you said but cannot tell you why you are wrong. Please dont take that as an insult or me being ignorant or arrogant, i simply have a different belief to what you and the majority of the people who know the game do.
Id appreciate it if we stuck to the topic of wheter or not the question i posed is related to complexity theory, as your or my opinions on proofs are inconsequential..