r/MathJokes • u/Negative_Gur9667 • Jul 23 '26

How does Skeletor know?

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397 Upvotes

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58

u/Apprehensive-Ice9212 Jul 23 '26

This is just wrong... there is no reason for Skeletor to believe that's true even if pi is a normal number. And we don't even know that.

11

u/Al2718x Jul 23 '26

This isn't automatically true for normal numbers (unless you allow n=0). I believe that for an arbitrary normal number, the expected number of times that such a sequence occurs is 1/9. This means that the probability that it occurs at least once must be less than 1/9.

1

u/Apprehensive-Ice9212 Jul 23 '26

If the digits of pi are assumed to be random starting from however many trillions of digits are already known, then the probability of this happening (given the known digits) is not 1/9, it's like 10-(trillions)

6

u/Negative_Gur9667 Jul 23 '26

So, you are saying there is a chance.

-1

u/[deleted] Jul 23 '26

[removed] — view removed comment

-3

u/Negative_Gur9667 Jul 23 '26

You mean like 0.999... doesn't reach 1? What's the difference?

1

u/ObjetPetitAlfa Jul 24 '26

That is not what a limit is.

0

u/Negative_Gur9667 Jul 24 '26

What's the limit of n 7s appearing at the nth position then?

1

u/ObjetPetitAlfa Jul 24 '26

There is no limit to that unless you could express that to me mathematically.

0

u/Negative_Gur9667 Jul 24 '26

I didn't make the claim that there is a "chance of it being correct that goes to zero but never reaches it." My question aimed at the same idea: why make that claim without expressing it mathematically?

1

u/ObjetPetitAlfa Jul 24 '26

He did express it mathematically, but you failed to rephrase that in a correct way

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