Roulette -- just random or there is something else?

[GLC]

But that would apply equally as well if there were in fact, fewer repeaters. If the normal behaviour was for each number to hit once exactly every 37 spins you could then say "why does this happen if the ball and wheel have no memory?".

It's possible to prove mathematically that there MUST be repeaters in any game of  independent trials (assuming no bias). It just a consequence of the laws of probability, nothing to do with dealer influence. If anyone's interested I can post the proof.

Seems to me the fact that it happens is proof enough.

If there is something else, it probably has to do with the player or the dealer and not the game itself.

[iggiv]

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good luck in taking the same card 3 times in a row!

vundarosa

if u do it long enough it will happen sooner or later

[iggiv]

the truth is that whatever happens randomly -- card picking, lottery numbers, playing coin sides, and any other random things -- this will happen exactly like roulette. If u r curious try  doing it yourself -- play card random picking after mixing the pack. I've done. just out of curiosity. and what happens? the same repeats, and frequently the same card 2 times in a row. exactly like roulette.

Vundarosa, try it yourself if u don't believe me. Just do it right -- mixing the pack, then taking out one card randomly and blindly. then putting it back and mixing again and so on. Of course if u don't put the taken card back and don't mix the pack properly u won't get repeats

[vundarosa]

vundarosa

[Bayes]

Seems to me the fact that it happens is proof enough.

Right George, and reality should always trump any mathematical proof. 

Anyway, I've just remembered that there's a very nice proof of repeaters at Steve's other forum (what roulette forum doesn't Steve own?  )

You can read it here. My proof would be essentially no different from this, only the emphasis would be on the fact that the average number of spins required for  "complete set" of numbers, streets etc to come in is always more than the numbers or streets etc in that set. This proves that there MUST be repeaters. For example, to get all the numbers 0-36 you must on average spin 155 times, and to get all the streets you must on average get 37 spins.

The formula at the end of the post:

1 + N[1 + 1/2 + 1/3 + 1/4 + ... + 1/(N-1)]

gives the number of trials necessary for a complete set, and since this number will always be more than N itself, this is the proof of repeaters.

[GLC]

Thanks Bayes.  I have often kicked myself for not studying math more in my life.  It just helps see the world more correctly.

Of course I'm not dead yet.  Maybe that would be a better hobby than studying roulette?

Naaaaaah.      I could do them both.

[hanshuckebein]

for me roulette is a game of randomness and statistics.

cheers

hans

[ego]

 
The wheel is not random and i know the cause and effect ...
When you don't know what perspective to use and how to observe the wheel in action - then it will apper to be random.