Given length of character array (N), and number of each character appearing in this array (e.g. A is appearing nA times, B is appearing nB times etc, na+nB+..+nZ = N),
what is the probability of character (say, _c) appearing m (m <= n_c) times in a row in this array?
Let's say only characters are A and B.
nA = 5
nB = 3
N = 8
and suppose m = 3
and _c = 'A'
Situations of interest: AAA*****, *AAA****, **AAA*** etc.
I assume the probability is:
Do you agree?