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2 - Even with that "feels math", thousands upon thousands have still cried about the shear number of 97%/ 98%/ 99% missed shots and cry about RNG not being fair; down-voting Xcom 2. Can't blame the devs for knowing their target market.
3 - It's NOT "broken" if it was intentional. That like saying a FPS is broken because the devs put grenade/ rocket launchers and you personally feel that area-of-effect weapons breaks a game. Sounds like you have been sipping too much Yorkshire Tea (it's side effects include calling things broken that aren't actually broken. Spiffing Brit was the first known case).
4- As Dragon said above, play on legendary; reason - because Legendary removes certain "broken cheats" for the player.
5 - Xcom 2 has the absolute greatest Modding community ever, partly because the game isn't broken. Otherwise they would not waste their time. Here are some that may satisfy your needs:
https://steamcommunity.com/sharedfiles/filedetails/?id=617993180
https://steamcommunity.com/sharedfiles/filedetails/?id=624799134
https://steamcommunity.com/sharedfiles/filedetails/?id=736526246
Nope.
I absolutely adore how you pointed out here that 1 + 1 = 2! =D
Please Zuben, cry somewhere else
Meaning 3 in 10 that it could not. And its very possible that (with a save scum mod enabled of course) if rolled 10 times, 4 of those six could be misses, or 1 of those six, or even none at all.
The point being, when dealing with an RNG, the outcome is rarely what it should be according to traditional math. The more times you roll however, the more likely the data you are recording will more accurately reflect that percentage...in theory anyway. Its also possible to miss 8 out of 10 shots despite that as well. Highly unlikely, but still possible.
Were I you, I'd find ways to circumvent the RNG entirely. Granted, not much can be done in that regard if playing vanilla or WOTC, but things like rockets, grenades, heavy weapons, ect can tilt things in your favor.
IE, the more shots your guys miss in succession, the more likely each next shot is to actually hit something regardless of what the percentages indicate.
Also, if one of your guys goes down or gets killed, the enemy gets hidden aim penalties to your troops for at least the next shot, if not the rest of the turn.
Neither of these applies on Long War 2, which uses its own aim/graze/crit roll system.