I agree with Before: P(A) = 1/3, P(B or C) = 2/3
I think, for example, if car is behind A:
P(win) = P(Ben chooses A, host shows C, Ben stays) + P(Ben chooses A, host shows B, Ben stays) + P(Ben chooses B, host shows C, Ben switches) + P(Ben chooses C, host shows B, Ben switches)
P(win) =...