billd91
Not your screen monkey (he/him) 🇺🇦🇵🇸🏳️⚧️
With hit points, this is not at all the case. Hit points are generated using only one die, so there is no bell cuve. A fighter is just as likely to roll a 1 as is he to roll a 10. This makes the variation between poorly rolled characters and well-rolled characters potentially extreme. One 20th level fighter could literally have 180 fewer hit points than his comrade.
It's extremely unlikely to see that gap based on the dice. While the hit points you roll on one die may not have their random distribution described by a bell-shaped curve, the more hit dice you add, aggregate hit points as your levels increase do map to a bell curve. And the more dice you have, the greater the tendency toward the mean.