Discovering actually when a particular species' common mtDNA ancestor existed is actually a lot easier than calculating the probabilities, since that calculation is entirely based on actual observed data.
Although this is believable to me (that calculating the probability of roughly when a species' common mtDNA ancestor existed is too complex for us to currently do in a meaningful way) it seems to be contradicted by folks who use probability calculations to assert that at a rough period of time (0 AD for example) each person alive was either the ancestor of all humans living today, or no humans living today. I understand this is not quite comparing apples to apples, but what makes probability calculations for a species' common mtDNA ancestor (or common y chromosome ancestor) signficantly more difficult than the other type calculation?