Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

  • Index
  •  » Help Me !
  •  » binomial standard deviation in french roulette

Post a reply

Go back

Write your message and submit
:) :| :( :D :o ;) :/ :P :lol: :mad: :rolleyes: :cool: | :dizzy :eek :kiss :roflol :rolleyes :shame :down :up :touched :sleep :wave :swear :tongue :what :faint :dunno
Options

Go back

Topic review (newest first)

bobbym
2013-01-29 21:46:36

To do better than what was done before requires more samples.

ybot
2013-01-29 21:36:38

Soon, with the error %.

bobbym
2013-01-29 21:32:34

How much sooner?

ybot
2013-01-29 21:12:55

Ok. I want to find out the actual mean of numbers that we have small samples.
Supose the ratio is 1/34 for the first 1000 trials, 1/35 for the 2nd 1000 trials, 1/33 at the 3rd 1000 and 1/33 at the 4th 1000 trials.
I guess we would be able to know the actual mean when we have 20k.
But the quest is to infer it sooner.
What are the math tool that you use?

bobbym
2013-01-29 21:02:37

That is the point! You have tons and I have nothing but one example. I do not think I can get much more out of one example.

What is it you want to do?

ybot
2013-01-29 20:53:29

I have tons of data

bobbym
2013-01-29 20:26:59

Hi;

Do you have the results of more runs?

ybot
2013-01-29 19:24:05

As I lack of strong math knoledge Im trying to undestand the event I withness

bobbym
2013-01-29 13:25:14

Hi;

I am not following you here. What can I do a regression to? I have one piece of data, 48 / 1000.

Using that I guess that the mean is quite close to that and there is some mathematics to support that. To really nail the mean down you will need more experimental evidence, like another couple of runs, the more the better.

ybot
2013-01-29 13:14:21

How could inferencial statistics help to know I want?

Can you forward a roulette example where you use the correlation, the regression, the least square method and the student distribution?

bobbym
2013-01-02 01:01:00

Hi;

We finished 3 pages with no conclusions.

That is not correct. We covered the expected value of the experiment ( 48 / 1000 ), we used the central limit theorem to state that the wheel probably has an average close to ( 48 / 1000 ) and I explained the standard deviation.

I told you your expected profit with the data you gave me, 72 cents on the dollar.

We might start again.
What does 48/1000 tell?

Like any empirical experiment it can only provide evidence. Statistics you can say is designed to make mathematical sense out of data like yours.

What would you like to do next?

ybot
2013-01-01 23:42:55

ybot wrote:

Hi
About french european roulette
the chance to hit es 1/37

supose we are looking for 3 standard deviation events

43 hits in 1000 trials is 3 st dev(we played 1 number)


1)what does reaching 3 st dev mean?
2)what is the difference in strentgh of hitting 76/2000, 170/5000 or 319/10000(they are all +3sd)
3)whats the difference in PLAYING the 1000 2000 or whatever or watch some data where we you  find 1 number with 3 st dev?
4)it is the same to reach 3 st dev for 1 number or 2 numbers(neighbors)?
5)having collectede data, you pick 4  numbers(isolated, not neighbors)) that their sum reaches 3 st dev. What is the difference with item 3) or if we actually play every spin?

I hope you undestood my questions

I believe they are hard to answer

Best regards

We might start again.
What does 48/1000 tell?
What are the predictions for the play of this number?
What are the chances to repeat 48/1000? (from 44 to 50/1000)
We finished 3 pages with no conclusions.

bobbym
2013-01-01 02:03:27

That is what I told you. But 1000 trials is a lot larger than 30 trials. We can say that the sample ( the thousand trials ) mean is pretty close to the true mean. From what you have given it is the best estimate I can do.

ybot
2013-01-01 01:53:30

But, it happened (in this example) in the first 1000 trials. The next 1000 trials it might hit 40 30 or 50, we dont know it yet.
The real edge isnt 72.8%, the sample is very short to have a conclusion

bobbym
2013-01-01 01:39:07

Okay, for your 48 out of a 1000 model, provided that is a true estimate of the mean.

The expectation is

E = (952)(-1) + (48)(35) = 728

which means you earn 72 cents on every dollar wagered. A very lucrative deal since a Vegas wheel only earns 5.26 cents on every dollar.

Board footer

Powered by FluxBB