As far as I know the decimal numbers in any irrational appear randomly showing no pattern. Hence it may not be possible to predict the $n^{th}$ decimal point without any calculations. So I was wondering if there is a chance that somewhere down the line in the infinite list of decimal numbers in an irrational could reveal something like our date of birth in order (eg: 19901225) or a even a paragraph in binary that would reveal something meaningful.
Since this a infinite sequence of random numbers ;
- Is it possible to calculate the probability of a birthday (say 19901225) appearing in order inside the sequence?
- Does the probability approach to 1 since this is an infinite series.
Any discussions and debate will be welcomed.