You obviously aren't getting the point. I know a Fighter will usually beat a Wizard in a toe-to-toe fight, that was never my issue. My point was they each have the same chance to hit! They both have +5 (Dex and PB) Attack bonus against AC 13 or a 65% chance to hit. That makes no sense whatsoever. A Fighter has spent years training in weapons and combat, but the Wizard is just as likely to hit. Do you see my point? I am not talking about damage (sure, the Fighter will use better weapons and has better combat abilities, never argued that...), but is just as likely to deal some level of damage as the Wizard.
None of that withstanding, your simulations also used every benefit the Fighter gets (Fighting Style and Second Wind) and none of the Wizard's. Not they it would make a huge difference, but toss in a couple Shield spells as reactions to getting hit (turning one or more into misses) or a Burning Hands and the Fighter's success isn't as close to a guarantee.
No, I don't see your point. It's a stupid point. A first level Fighter in 1e has the same chance to hit as a 1st level Wizard (or it's only off by one).
A 1st level Fighter hasn't spent years in training.
A 1st level Fighter is likely to have a higher Strength or Dexterity than a Wizard.
A 1st level Fighter can have a higher to hit chance with a ranged weapon because of a Fighting Style.
A 1st level fighter will have higher AC than a Wizard (because of better armor) and, if for some reason the Wizard is wearing the same armor the Fighter can have a higher AC (and, therefore, a better to-hit chance) from a Fighting Style.
Three fighting styles increase damage so it stands to reason the Fighter has learned to sacrifice some chance to hit to get more damage out of those attacks.
A Fighter DOES have a higher to-hit on basically every other weapon outside of the few a Wizard is proficient in. If I had truly done the battle
ceteris paribus I could have given both of them short swords and then the Fighter would, in fact, have had a higher to-hit chance.
As to my simulations using the benefits a Fighter gets... well, yeah. Your complaint was about martial prowess of the Fighter and Wizard. So that's what I compared. Straight martial prowess. If a Wizard is dual-wielding daggers, he isn't casting
burning hands or
shield while wielding them, is he?
Honestly, if you are getting this bent out of shape about a Wizard and Fighter having the same to-hit chance with the few weapons a Wizard is proficient in, then D&D is clearly not the game for you. You'd be better served playing something much simpler.