>>13064909cG, sG, sT = 1/3
sG, cG, sT = 1/3
sG, sG, cT = 1/3
Okay, so now take away one sG in each of these cases (that's what happens when the host reveals a possible goat in each of these cases since he/she reveals only a goat that you haven't chosen [not an sT or a cG])
cG, XsG, sT
XsG, cG, sT
sG, XsG, cT (X's indicate revealed doors)
You have now have 2 cG's and 1 sG and 2sT's and 1cT. That's 2 possibilities in the matrix you originally chose the goat and 2 possibilities in the matrix switching will give you the truck
thus switching to the truck gives you 2/3 a chance of winning and keeping the goat gives you a 2/3 chance of losing because there are 2 cG's and 2 sT's in the matrix
