Given a Bernoulli trial with probability of success p and a number of trials x, what is the expected number of trials until success in a case success was achieved in x trials? It is assumed that after a successful attempt, the single experiment ends and no further trials are taken.
e.g. if p = 0.02 and x = 60, I would like to find the expected number of trials taken in case success was obtained 60 trials. Indeed there is a chance to fail all 60, but I'm interested, for the case of success within 60 trials, in the average/expected number of trials it takes. I understand it is lower than 1/0.02 and decreases with x.