Imagine a population evolving by genetic drift in which the frequency of allele k is 0.65. what is the probability that at some point in the future allele k will drift to a frequency of 1?

Probability of fixation by pure genetic drift equals the current frequency.  time it takes for fixation is proportional to population size.  [ ref. wiki ]so in the given case, the probability for fixation of allele k (i.e. frequency of 1)  is 0.65.note: although minor math is involved, the theory required to answer this question requires a knowledge in biology.  so future similar questions are better posted in the biology section.