I would like to compute the probability of the following problem...
+ a sequence defined by an alphabet of four characters
+ a specific short sequence s1
+ a specific short sequence s2
+ a gap of non-specific characters between s1 and s2 of length g
+ s1 = 3203 (the first bold sequence)
+ s2 = 3123 (the second bold sequence)
+ g = 7 (the length of the underlined sequence = gap)
What is the probability that s1 and s2 occur with a gap that does not exceed 100?
Someone suggested using the Poisson distribution, but I'm not sure...