rom_tobins wrote:Well i think things shall end slightly faster then that. It's not hard to win a game when you have 3 tries, but as things go on the less skilled players tend to disappear. Some players will be finding it harder and harder to get by. i say another 15 or so rounds
I don't think so. Some more math to prove it?
scenario1:
Assumption: All players in the tourney are very skilled.
Conclusion1: The games will be mostly decided by luck.
Conclusion2: Chances to advance are 1-0,5^3= 87,5 %
scenario2:
assumption1: We have 300 players of three categories: 100 are highly skilled, 100 are average skilled and 100 are less skilled.
assumtion 2: Every player plays one game against one player of each categorie.
assumption 3: Lets assume the following win chances for the differnt types of games:
high vs high = 50:50
high vs average = 60:40
high vs low = 70:30
average vs average = 50:50
average vs low = 60:40
low vs low = 50:50
So chances for the highly skilled player to advance are: 1-0,5*0,4*0,3=94%
Chances for the average skilled player: 1- 0,6*0,5*0,4=88%
Chances for the low skilled player: 1- 0,5*0,4*0,3= 79 %
Chances on average: (79+88+94)/3 = 87%
If the skill of the players differs the average to advance are slightly lower than in scenario 1.
You can also try it with different numbers like 90:10 for the high skilled player against the low skilled player but you will always get a lower chance on average. (I did not do a proove for this but I'm quite sure that it is like that).
At the moment we are at 82 %. This might be because:
1. Player are skilled differently
2. Some people do not even join games
3. Some people go to holidays and deadbeat all there games
4. Some people do not play all three games although they lost.
So this is enough being geek for today... We will see if I'm right as the tourney continues.
knubbel