Discrete Distributions (Alatissa expert in probability theory)

He communicates with me like a boss who doesn't give solutions, but sets tasks )))
I understand everything =



This ChatGPT is like having cool IT engineers sitting next to you... but I'm specifically interested in the code for the task at hand... and I'll figure out where to attach such a procedure )))

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In principle, that's what I wrote to the bot )))



Hooray! The ZPT bot has finally started recommending something concrete after all the general ranting.

I understand all your warnings and caveats about the quality of the results. Where do we start writing the program in Unity?



A new Unity project for mobile devices is open. What's next? How does the user enter the phone number combination?

Assuming you've already created a new Unity project for the mobile platform, the next step is implementing the user interface (UI) so the user can enter a number combination. Here's a general outline of the steps you'll need to take:
* Create a user interface: You can create a user interface in Unity using built-in UI elements such as buttons, text fields, and labels. You can use these elements to create a user-friendly interface that allows the user to enter a number combination.
* Add input fields: You'll need to add input fields so the user can enter a combination of numbers. The Input Field component can be used to create a text field where the user can enter text.
* Implement input validation: You'll need to implement input validation to ensure the user enters a valid combination of numbers. You can use code to validate the input and display an error message if the input is invalid.
* Store the input: Once the user has entered a valid combination of numbers, you will need to store the input in a variable so that it can be used for calculations.
* Implement calculation: You can implement the calculation of the probability of the specified combination using the formulas of probability theory, as described in your previous messages.
* Displaying the result. You can display the calculation result in a label or other UI element to make it easy for the user to see the result.

This is a general outline of the steps required to implement a numeric input user interface in Unity. The specific implementation details will depend on the specifics of your project and your programming experience.

The program shouldn't simulate a random number generator (RNG), but should calculate variance and probability using probability theory formulas. It should also generate tables and results for a given combination of numbers and set length. Linking to a roulette wheel only means that the numbers in the set are random numbers from 0 to 36.

I understand that the program will use probability theory formulas to calculate probabilities and expected outcomes for a given combination of numbers, rather than simulating a random number generator. This approach will certainly provide a more mathematically rigorous method for calculating probabilities and expected outcomes for a given combination.
It's recommended to account for variance in calculations, as this will ensure a more accurate representation of expected results. Furthermore, linking the program to a game like roulette simply means that the number range being considered is limited to numbers from 0 to 36, as on a standard European roulette wheel.
It is also important to keep in mind that, although the calculations produced by such a program will be based on mathematical formulas, the actual outcome of a game of roulette (or any other game that uses a random number generator) is always uncertain, and that the Program cannot predict future results with certainty.

LUCKY-13 wrote:

We want to create a universal interactive machine for calculating the probabilities of combinations entering the random number generator.
Let's call it "Mathematical Expertise from Alatissa".

Initial data:
d - length of the segment (arbitrary value, specified by the user)
comb - combination ("17", "23-32", "7-17-27", "1-20-14-31-9-6-34-17", "27-16", etc., specified by the user)

Button "Calculate occurrences"

Result:

a) Number of occurrences in the specified segment - % probability
0- % 0.00217
1-% 0.00823
2-% 0.01974
3-% ...
4-%
5%
6- ...
7-
8-
9-
10-

b) Average waiting time for the specified combination to appear.

The average time it takes for your combination to land is 124 spins.

* * *
To do this, we ask you to describe the entire calculation in detail using an example:

Segment: 60 spins
Combination: "23-32"

I'm trying to take the bull by the horns right away ))) but ChatGPTjust wants to chat for now....



in Russian =

As I understand it, you're proposing a program that can calculate the probabilities of various combinations in a random number generator (RNG) based on the length of a segment and the combination entered by the user. The program will output the number of occurrences in the specified segment and their corresponding probabilities, as well as the average wait time for the specified combination to appear.
This is an interesting idea, and such a program would certainly be useful for those who want to understand the probabilities and expected outcomes of various combinations in RNG-based games. It would be important to ensure that the program accurately calculates probabilities and that the RNG used is truly random.
Keep in mind that the outcome of games using RNGs is always uncertain, and no program can reliably predict future results. The average wait time for a combination to appear should also be interpreted as a long-term average over many spins, and actual results may vary greatly in the short term.

Will the ChatGPTbot be able to correctly calculate the probabilities and variance for roulette?

100pravda.com/forum/gamers-gold-rulez/90...tsya-iz-sng-k-openai

It seems to me that it is too early for him to compete with mathematics professors.... but you never know....

WoodForest wrote: Well, show me what's not nonsense, hit the number head-on with a max bet, without a preliminary loss scenario, just using your own method, if you have one! One bet = one max bet = one center and three rebets. What's the problem?

It doesn't work like that....

PROBLEM 8%
(An unscientific treatise on how to beat casino roulette)

If I log into Profit every morning, place 1 random number max bet and respin 3 times....
P(L) = (1-1/37)^3 = 0.921091
P(W) = 1-0.921091 = 0.078909
Almost 8% in favor of winning on some morning ))))) i.e. according to the theory of probability, once every 12.67 days (sessions) ON AVERAGE, I will still catch a WIN with a completely random bet on an honest roulette....
Sometimes more often, sometimes less often...

Is this idea clear yet?
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If you start a streak like this, your W might start falling from the very first days. And that doesn't mean you're a super-strategist.
Or maybe W will start coming in from 2-3 weeks = and this does not mean that the casino is running some kind of loss scenario or interfering with the game.



But when you play for a year, everything will come down to 0.078909 if you play fair.
Is that clear? Thank you.
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You can build your betting forecasts from Pythagorean triplets, shoe sizes, or the oscillations of Pluto's satellites === absolutely nothing.
The only thing that matters is that the frequency of YOUR GUESSES is higher than MATHEMATICS.
If this is not the case, you will not beat the roulette wheel, since you are moving strictly within the framework of the MO.

HIGH WIN FREQUENCY
Occurs when and only when your predictions correspond to what happens in the current generation of spins.
Therefore, dynamic bets related to current trends= are always preferable to statically sticking your horns in the ground.

We are also not interested in the EPISODIC (RANDOM) synchronization of leftist forecasts.

Moreover, there are "ungodly" strategies for choosing numbers for bets, where you won't even be able to master the math for the winning rate in a year... This is when the player's number selection and BRM are completely at odds with the ecology of roulette.
Such garbage strategies and habits must be mercilessly thrown into the fire! Don't waste your time and money.

Analyze your game more often and make small adjustments to your playing style and strategies every time.

Through adaptive and collision processes, a CONNECTION "BET-SPINS" === understanding of these processes arises and provides a NON-random input/output, which should be used to increase the frequency of your solutions.

Players' bets form the statistics board = those who do not understand ADAPTIV are doomed to eternal loss.

P.S. For me, ADAPTIV is a goofy lapdog, not some kind of sinister monster. Yes, she has a personality = she doesn't want to fetch my slippers, you can't force her))) but when she's in the mood, we get along wonderfully... === Simple commands (bets) elicit the expected reactions from the casino.

pps With all my experience, I very rarely catch number 1.... why waste time WAITING and create EXTRA difficulties for yourself and the adaptor?