i couldn't think of a good title, cleg gave me this one
https://forms.gle/iKWz9zJXQdVbK5ci8
edit: results that add up to more than 100 are discluded
i couldn't think of a good title, cleg gave me this one
https://forms.gle/iKWz9zJXQdVbK5ci8
edit: results that add up to more than 100 are discluded
I will show my calculations
Assume that
Chance to win 100T : 0.6 aginst TH, 0.7 aginst G2, 0.4 aginst GenG
Chance to win TH: 0.4 aginst 100T, 0.5 aginst G2, 0.4 aginst GenG
Chance to win G2: 0.3 aginst 100T, 0.5 aginst TH, 0.4 aginst GenG
Chance to win GenG : 0.6 against everyone
100T and TH need to win 3 games to win this master
100T chance : 0.6(TH) x 0.7(G2) x 0.4(GenG) = 0.17
TH chance : 0.4(100T) x 0.5(G2) x 0.4(GenG) = 0.08
G2 chance : [0.6(lose upper blanket final against GENG) x [0.6(100T win against TH) x 0.3(100T) x 0.4(GenG) + 0.4( TH win against 100T) x 0.5(TH) x 0.4(GenG)]] + [0.4(win upper blanket final against GENG) x [ 0.6x0.4(100T qualify for Final) x 0.3(100T) + 0.4x0.4(TH qualify for final) x 0.5(TH) + (1-0.24-0.16)(GenG qualify for final) x 0.4(GENG)]] = 0.25
GenG chance : 1 - 0.17 - 0.08 - 0.25 = 0.50