# Fixed Length Chains: Do they contain a certain digit or not?

## GENERAL CONSIDERATIONS / EXPECTED VALUES

Dividing data into substrings of length L (called boxes) we can test whether a certain digit is part of the box or not.

The chance to find a certain digit [0..9] inside the box is simply w_{L}= 1 - (9/10)^{L}

## RESULTS

The Pi-Data was divided into 100 blocks (subregions) of equal amount.

We proofed any digit from 0 to 9 to fall into the boxes.

Finally, we had 10*100=1000 collecting elements.

Box analysis was produced for box length L=1,2,3,4,5,10.

We give result details for box length L=10 as an example.