This example needs to be refined, two experiments do not produce the same data, second one has different probability space and additional data point—stopping position, and computing probabilities you should also condition on that stopping point N, fact that this N is screened by other data is nontrivial and waiving it just on assumption of beauty could lead to mistake.
It turned out that in this case that is correct move, but could be a mistake quite easily.
This example needs to be refined, two experiments do not produce the same data, second one has different probability space and additional data point—stopping position, and computing probabilities you should also condition on that stopping point N, fact that this N is screened by other data is nontrivial and waiving it just on assumption of beauty could lead to mistake.
It turned out that in this case that is correct move, but could be a mistake quite easily.