Funny Sequences

[Priyanka]

When I started the random thoughts topic, the only intention was exploring non-random concepts and seeing whether we can get playable opportunities from these concepts. It turned into a discussion which I didn’t intend to and didn’t want to. Partly because of my tone of the discussion changed unintentionally and partly because of some unintentional assumptions made by certain readers. But Scarface summarised it wonderfully at the end and love that summary.

One thing that came up again and again was there is no thing called a sequence of numbers appearing more than another set of sequences. I realised that we never discussed sequences in that thread, very clear from the summary from Scarface. So why not we discuss about sequences in this thread. No, am not claiming there is a sequence that comes more frequent than others, but wanted to see if there are any anamolies if at all is there.

To start with I picked up a set of numbers and grouped them into sequences of two even chances high and low like below:

Spins â€" 19, 25, 11, 3, 5, 1, 19, 16, 3, 27, 15, 32, 11, 20, 6, 2, 31
HL sequence â€" HH, HL, LL, LL, LL, LH, HL, LL, LH, HL, LH, HL, LH, HL, LL, LH

And then I counted them
HH â€" 1, LL â€" 5, LH â€" 5, HL â€" 5

Then I ran this experiment again and again and again.  Results of 10 such runs are below.  Then I noticed a peculiar thing.


Hmm! Then I ran the same experiment for 5000 spins for 5 times and looked at the results. I still noticed the same peculiar thing. Do you see what I am seeing in the stats of opposites (HL and LH)? What do you think?

[nottophammer]

HL,LH a difference of 2

[praline]

HL,LH a difference of 2

I see a difference of 1or 0.

Are this stats, somehow releated to the fact that our sequences of high/ low are dependent from previous sequence?

[praline]

Spins â€" 19, 25, 11, 3, 5, 1, 19, 16, 3, 27, 15, 32, 11, 20, 6, 2, 31
HL sequence â€" HH, HL, LL, LL, LL, LH, HL, LL, LH, HL, LH, HL, LH, HL, LL, LH

If we write the same sequence, but without considering the last spin, we will have a different statistic?
HH, LL, LL, HL, LH, LH, LH, LL, H

So to be able to see this unbalance we need to create a dependency?

[Priyanka]

I see a difference of 1or 0.

Yeah, it is always 0 or 1 even if you run millions and millions of spins. Its never any different or more than 1. As opposed to invidividual spins which can vary largely. This I believe stems from the way we have constructed the High and low sequences by making each of the sequence that is coming out dependent on the way previous sequence has turned out.

[praline]

Another observation :

We can't have a string of sequences with two HL or two LH in a row.
This explains those statistics
After each HL there must be LH, maybe with a lot of LL in the middle
And
After each LH there must be HL, maybe with a lot of HH in the middle

How can we benefit from this imbalance?

[maestro]

do labby on <HL> and <LH> as you are sure that will balance...

[praline]

Sorry, i don't understand the word "labby"

[falkor2k15]

Less variance for LH and HL compared to LL and HH? You know what: I noticed very little variance for VdW too:
VdW stats...

[maestro]

falkor would be able to explain<labby>....

[falkor2k15]

Yeah it's not a bad idea, maestro. This topic is another amazing contribution from Priyanka - but I hit the like button by mistake. This could lead to a whole new approach to playing Roulette. Also, I really wanted to progress with PA's method - but I couldn't find a stable bet selection - so I am thankful to Priyanka here for giving us new pointers.

[maestro]

falkor in roulette is sooooooo much and i dont think your brain ever will be able to get all information ...get over it,in life one should find something they are good at it and stay with it...



labby=Labouchère

[praline]

labby=Labouchère

You're very smart, i see. All those tips from Priyanka has definitely made you smarter. We didn't receive all those hints so we aren't so smart for now.

[falkor2k15]

falkor in roulette is sooooooo much and i dont think your brain ever will be able to get all information ...get over it,in life one should find something they are good at it and stay with it...



labby=Labouchère

Well, I'm not a mathematician or a maestro, and I never expected to learn everything there is to know about the game. I am just happy to learn about this in particular, so what is there to get over exactly? Thanks for sharing your philosophy on life - a "jack of all trades and master of none" wouldn't agree with you though.

[DoctorSudoku]

Since we are invoking the use of the Labouchere here, maybe we should, in this context, also give Norman Leigh's Reverse Labouchere a look as well.