When multi-classing in Pathfinder, is it strictly better to take a higher HP class at first level?
At first level, your character gets max HP for the HD of their class. At subsequent levels, you roll the HD (or take the preset average roll in alternate rules).
This was also true in earlier versions of 3rd Edition; however, these editions also granted ×4 skill points, as well as a bigger initial maximum skill rank to be filled with them. Thus, there used to be some trade-off between which class you would take first.
As an example, if you planned on leveling up as equal levels of Fighter and Rogue, you could either start with Fighter for the extra HP, or start with Rogue for the far superior skills. A Fighter 1 / Rogue 1 could end up very different from a Rogue 1 / Fighter 1 for this reason, and both had advantages.
From what I can tell, Pathfinder seems to have removed all of these aspects of skills that would give an advantage to taking a skill-based class first. Is this the case? Or, are there any other advantages to the ordering that I am overlooking?
This is naturally from the perspective of build optimization; it does not factor in the act of playing such a character in-between leveling up.
Can this be fixed with a simple house rule? It seems to me that, for instance, one could retroactively adjust a character’s HP if they multi-class into a new class that has a higher HD than any other they’ve had before, taking max on that HD and re-rolling the one that used to be max instead. Are there any significant issues with this method?
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