How can I make this aim right? + Bonus Question

Help and Feedback Scripting Support
1 
script.Parent.Head.CFrame = CFrame.lookAt(script.Parent.Head.Position, player.Character.Head.Position)
				local shotDirection = script.Parent.HumanoidRootPart.CFrame.LookVector
				
				--getting and positiong/parenting bullet
				local bullet = game.ServerStorage.bullet:Clone()
				--bullet.Position = script.Parent["Right Arm"].MeshPart.Position
				bullet.CFrame = CFrame.new(script.Parent["Right Arm"].MeshPart.Position, shotDirection)
				bullet.Parent = game.Workspace
				
				--tweening bullet
				local tweenInfo = TweenInfo.new(1)
				local tween = tweenService:Create(bullet, tweenInfo, {CFrame = bullet.CFrame * CFrame.new(0, 0, 100)})
				tween:Play()

I’m bad at math. This gives me this:

image
image1920×1080 95.5 KB

Every time. The trail my cursor is on is the bullet.
How can I correct this so that it aims in the right direction (forward, basically coming out of the gun every time)?

BONUS QUESTION
I want it to also not always be guaranteed to hit, so if there could be some kind of variation in the angle- maybe 0 to 1 studs- of where it shoots, that way it’s accuracy can be a bit wonky, that’d be great. Thanks.

2 
local shotDirection = script.Parent.HumanoidRootPart.CFrame.LookVector*1000

try this

And by the way, if you are using “Touched” event as hit detection it might be inaccurate when the projectile has a high velocity.