I have a word with 13 characters. Each character is random and alphanumerical (a-z, 0-9).
So for each character there are 36 possibilities: 10 numbers and 26 letters.
I am trying to find out the probabilities for different amounts of segments. I define a segment to be a series of numbers or letters without an element from the other group.
Example:
abcdefg123456
= 2 Segments
abcdefg123abc
= 3 Segments
abcdefg123ab1
= 4 Segments, etc.
Now I am looking for the probabilities of having 1 segment, 2 segments, ..., 13 segments but I can't figure it out. Any help is greatly appreciated.