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I don't remember off the top of my head, but I'm pretty sure you always get the max HP in 5e, instead of rolling them.
Then the game use the rule of average rounded up HP by default. You can change it in the diificulty settings.
Hit Dice: 1d6 per wizard level
Hit Points at 1st Level: 6 + your Constitution modifier
Hit Points at Higher Levels: 1d6 (or 4) + your
Constitution modifier per wizard level after 1st
Many DMs, including Adventurers' League, require that you calculate hit points, not roll them.
Wizards get base 4 (1/2 of 6 rounded up), rogues and clerics etc get 5 if I remember right (1/2 of 8 rounded up), fighters/pally/rangers etc get 6 (1/2 of 10 rounded up) and barbs get 7.
Because of con bonuses you can literally have a wizard who gets more hp per round that a barbarian lol, especially with bonus feats added in etc.
In 5e, you have a feat you can get that adds 2 hp per level as well, on top of the con bonus.
A human versatile wizard could start with a 19 con +4/hp and toughness +2 hp, giving you 10 hp a pop after the first level. Getting a +1 con feat at level 4 would then give them +11 hp per level.
A 14 con barbarian with no bonus feats would only get 9 hp/lvl hehe.
Anyway in general it's best to use the rounded up feature unless it's for theme because over so many levels it ends up better. I guess if you scum saved you could re-roll level ups on here and have a few more hp, but it's not really worth it in my opinion (unless your playing a wizard with no con bonus which is for theme anyway, so you would never scum save something like that.