You are confusing yourself and everyone else with you misunderstanding of probability. As I have said before, probability is a minefield for the unwary and clear definition of the scenario is essential.

Read carefully what Alan has written and try to understand that probability only tells you about the likelihood of random events over a large number of trials. You seem to be confusing known and unknown events with probability.

Example:

If you draw a card from the top of a pack there is 4/52 chance of an ace. Let's say it is the ace of clubs. If you replace the ace in the centre of the pack and do not shuffle you know the next card is not the ace of clubs, so there are only 3 chances the next card is an ace. But is the probability of an ace now 3/52 or 3/51? What do you think?

123

231

123

132

all x axis would be 1/3 where y axis you can clearly observe is different.

But you don't know that this is the sequence. If you know then you are dealing with ceertainty, not probability. The sequences could also be:

132

123

132

321

you just don't know.

The sequence of the first ten throws are

hhththttth

This is all good, based on only you playing, now lets consider that there is 2 players, I and you, except by randomness, the already results, are distributed to us both.

you get the already tossed 3rd toss, and the 5th toss, and the ninth toss.

You receive 3 tails in a row.

can you understand that?

No, we can't understand because your scenario still isn't clear and you are still confusing random with known. If one of you knows the sequence then they are betting different odds.

As Alan said, why doesn't he get 1st, 3rd, 5th etc; your scenarios are confusing.

To make this clear, let me go back towards the beginning.

I assume you know what it means without explanation. X is any one of the 52 variants of x axis. X in the y axis is any one of the 52 variants of x*∞. There is an infinite amount of rows of 52, y axis.

Well, without explanation we are confused because in post #1 you say that X=player seat, but above you provide 2 different definitions of X. Confused we are.

So lets say row 10 , column 1, there is an X with the value of being an ace.

By random timing this could be intercepted of the distribution. Do you agree?

No, because the phrase "By random timing this could be intercepted of the distribution" is incomprehensible.

What has timing got to do with it? if you select a card it doesn't matter whether you do it today or tomorrow.

What distribution?

12345

23145

53241

12345

In the above I have a 2/4 chance of receiving a 1 if my go is first of the distribution.

OK, now this is becoming understandable, but is very different from anything you have said before.

This sounds like:

I have 4 packs containing 5 shuffled cards numbered 1 to 5. If I draw the first card from each pack what is the chance of drawing a 1. However, the probability you have quoted is not for a random shuffle, but only works for the known sequence you have given.

This question however, bears no resemblance to you original questions which talk about y=∞. If you had an infinite number of packs you would spend a very long time taking the 1st card from each pack!!

As you can see, it is important to specify the scenario before you try to introduce maths expressions.

Newton didn't just quote formulae to everyone, he spent a great deal of time writing down and giving lectures on his ideas so everyone could understand what the formulae meant.

EDIT - PS the link you provide is to an equally incomprehensible diagram. You seem to be posting the same thing on a number of sites, giving the same responses (using the same words!!) and getting the same degree of misunderstanding.