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Your are right on with your first call. For every level up to nine the computer rolled 'one die' for your hit points. So
Lv 1= 1 Hit die of 1-10 points
lv 2= 2 hit die so another 1-10 points is added to your original 1-10 hp
etc......
lv 9= 9 hit die so now nine different times you have been given 1-10 hp
lv 10= 9+3 your previos nine roles PLUS at level 10, 3 more points
Lv 11= 9+6 your previous nine roles PLUS your three hp you got at
level 10 and now three more points are added.
Therefore if you didn't have any constitution bonuses the most hp that your fighter could have at level 11 would be 96.
I hope this makes sense!
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