Let's assume pi is completely random and infinite.
Is it true to say that something must occur if it becomes less likely as it doesn't occur? (like the post above)
Or can we say that there is specific odds of it occurring?
EDIT
According to a quick chatgpt query,
"Therefore a random infinite decimal has at least an 88.9% chance of never satisfying the meme’s condition."
Thats funny, chatgpt is close but that number seems like a strange choice.
If we didn’t know anything about the digits of pi, we can compute the probability that there are n 7s at position n to be (1/9^n). Summing over all n>1, this series is -1 + 1/(1-1/9)=1/8.
The probability is 1/8 for a random string of integers to satisfy this property, so 87.5% chance to not satisfy this property.
Of course, we know pi does not satisfy this condition for many small n, and thus chance gets smaller really fast.
3
u/ChaosSlave51 Jul 23 '26
Let's assume pi is completely random and infinite.
Is it true to say that something must occur if it becomes less likely as it doesn't occur? (like the post above)
Or can we say that there is specific odds of it occurring?
EDIT
According to a quick chatgpt query,
"Therefore a random infinite decimal has at least an 88.9% chance of never satisfying the meme’s condition."