Hitpoint Mechanic Analysis

low constitution will have a big impact on regeneration with the current system.

But I also like the proposal, that you may reroll if your hd shows con modifier or lower.
Maybe, you can only allow as much rerolls as your bonus shows, and if you still roll lower, you get your con value.

But lets first play it as is.
 

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A player with hit dice dN with a con modifier of C, the average hit points for each hit-dice roll for N>=C is:

C + (N-C)(N-C+1)/2N

(The minimum number of hit points per hit-dice roll, is locked at C).


Let's examine two limiting cases.

For C=N, the average hit points for each hit-dice roll is C.

For C=0, the average hit points for each hit-dice roll is (N+1)/2.

(As expected).
 

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