The charts on the left assign an equal probability to each game result. The charts on the right assign a probability to each game result that takes into account the players' relative ratings and color assignment.
The listings of Grand Tour standings for each possibility are here.
I will revise these charts as the tournament progresses and the possibilities narrow.
Number of games remaining: 1
Number of possible results: 3 ** 1 = 3
Remaining games:
Karjakin MVL
Odds of winning the Sinquefield Cup:
Equal probabilities Weighted probabilities
Carlsen 33.33% Carlsen 51.51%
Caruana 33.33% Aronian 29.67%
Aronian 33.33% Caruana 18.82%
Anand 0.00% Anand 0.00%
Grischuk 0.00% Grischuk 0.00%
Mamedyarov 0.00% Mamedyarov 0.00%
So 0.00% So 0.00%
Karjakin 0.00% Karjakin 0.00%
MVL 0.00% MVL 0.00%
Nakamura 0.00% Nakamura 0.00%
Odds of qualifying for London:
Equal probabilities Weighted probabilities
Aronian 100.00% Aronian 100.00%
MVL 100.00% MVL 100.00%
Nakamura 100.00% Nakamura 100.00%
So 66.67% So 69.00%
Caruana 33.33% Caruana 31.00%
Anand 0.00% Anand 0.00%
Grischuk 0.00% Grischuk 0.00%
Mamedyarov 0.00% Mamedyarov 0.00%
Karjakin 0.00% Karjakin 0.00%