Western Division Probabilities (Nerdy Post)

I've worked out all "outright" and "2 team tie" scenarios for a winner. All other ties I just identified by the number of teams in the tie

Probability of winning the West:
Alabama: 58.1%
Auburn: 16.1%
LSU: 12.1%
3 Way Tie: 9.2%
Miss St: 2.0%
4 Way Tie: 1.4%
Texas A&M: 0.9%
5 Way Tie: 0.3%
Arkansas: 0.0%
Ole Miss: 0.0%

How the outcome of each SEC west game will individually affect LSU's probability of winning:
A&M beating Auburn: 2%
Ole Miss vs Kentucky has no effect
LSU beating Alabama: 12%

Miss St beating Alabama: 4%
Georgia beating Auburn: 3%
LSU beating Arkansas: 8%

LSU beating Tennessee: 8%
Arkansas beating Miss St: 2%
Ole Miss beating A&M: 1%

Ole Miss beating Miss St: 2%
Mizzou vs Arkansas has no effect
Auburn beating Alabama: 1%
LSU beating A&M: 9%