I am playing with genetic algorithms and I am mutating each chromosome by changing 25% of its genes while random decimal {0,1} is greater than 0.8. This random decimal is generated at least once and it keeps generating after every mutation.
Now I'm trying to calculate what is the expected gene mutation rate for each chromosome, but I am not so good with probabilities and statistics. I understand that expectation would be 5% if the event wasn't recurring.
attempt to visually describe what am I looking for
What I can derive is 80% probability of 0 mutation, 20% probability of at least 25% mutation and new opportunity to gamble for mutations