Should be simple enough, but I can’t get my head around the math required.
Let’s say you have Team 1 (80 overall) vs. Team 2 (70 overall).
Using only those two variables, what’s the best/fairest way of determining a winner? Obviously, the higher the overall, the better the chance Team 1 should have to win.
I’ve been trying to look up answers, but unfortunately I don’t exactly know the word or phrasing of what I’m trying to figure out.
Just looking for a logic, or if someone can point me in the right direction of searching, that would be great.
Edit: Basically, in a match of Team 1 vs. Team 2, how can I calculate the winner when the only stat I’m given is the overall of each? Overall meaning the teams overall rating out of 100. (think sports team, the players ratings average is the teams overall rating).
The question is unclear because you haven’t defined an criteria for how the winner is selected. If the winner is the team with the highest overall ranking then it’s pretty straight forward, team one wins. If you’re doing some sort of weighted drawing — like the NBA draft lottery — where the team with the higher score has more chances of winning the drawing then you’d just think of it like pieces of paper in a bowl. Team 1 gets 8 pieces, Team 2 gets 7 pieces. There are 15 pieces in the bowl and Team A has 8/15 or 53% chance of having one of its pieces picked out. Add in a Team 3 with say a 30 ranking so they get 3 pieces of paper. Now there are 18 in the bowl and Team 1 has a 8/18 or 44.4% chance of winning.
If that’s what you’re after then you can write a formula for picking weighted random winners — random choices but where one team has a greater chance of being selected than another.