Hello All,
Not even sure if Excel can do this.. See attached
My friends and I have a competitive golf tournament each year. 2 Teams, 8 players each team.
Long story short, before the last competition Team A is up 14 points. (25-11 after Day 3) The last day there are a total of 24 points remaining. Total tournament 60 Points, 30.5 to win
There are 8 matches with 3 points awarded each match. Half points are possible, so you can score anywhere from 0.5 points to the full 3.0 points
I have put together the list of players and their probability of winning the match against the other players on the team.
For Example, The #1 seed on Team A playing the #8 seed on Team B would have a 99.99% chance of winning the full 3 points.
The first question I have is if there is a way in excel to run this probability that if Team A is up 14 points with 24 points remaining, what would be the likelihood of victory? A simulation of say 1000 Day 4 Outcomes, what would Team A's probability of victory be, needing only 5.5 of the 24 points?
The next question would be, the matchups are selected like so: Team B sends out first player for Match 1, Team A sends out opponent for Match 1. Team A then sends out player for Match 2, Team B sends out opponent for Match 2... so on until 8 Matches are set.
In this scenario is it possible, that Team A while up 14 points and needing 5.5 out of the 24 possible points to win, could all but guarantee winning by creating match-ups that would be highest probability of victory?
Team B is losing so they have to send out first golfer...Their best chance would be to have each match have 50% odds to get as many points as possible.
So Team B sends out #6 Seed, BUT Team A could send out #2 seed- Team A would have a 99.99% chance of winning 3 points.
Team A then sends out #5 Seed, Team B sends out #5 seed- Both teams have 50% chance of winning 3 points.
Team B then sends out #7 Seed, Team A sends out #4 seed- Team A would have 99.99% chance of winning 3 points.
This would give team A a high probability of winning atleast 3 points in two of those matches and winning the tournament
Instead of #1vs#1,#2vs#2...., each match having ~50% chance of winning 3 points.
Any sort of direction on this would be greatly appreciated!
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