Hey there! First time poster here!

I love working on games and trying to find fun solutions for mechanical problems. However! Maths is hard man! And to balance a game I think maths are needed! So help me out?

If I have three different sets of three d6 each

-One with two hits and four blanks on each die

-One with three hits and three blanks on each die

-One four hits and two blanks on each die

So basically, 33%, 50% and 66% chance of a hit. Right? Right?? I dunno maths man!

Also do the chances increase and decrease when I would remove or add one of the three dice?

My question is this:

What are the odds of getting a hit with one, two or three of the dice in each different set? (Not mixing sets! That would be crazy math! Unless you feel like it ofcourse)

I hope I expressed myself clear enough, if not please tell me :)

Thanks in advance mathheads!

Ronnie!