Complex Probability Problem (Bayes' Theorom?) 6 doors, 2 guesses, 1 hint

Here's the situation. You have 6 six doors.

A B C D E F

Behind one of them is a prize.

You get to choose a door.

If it has the prize, you are told so and win immediately.

If not, you are told whether or not the prize is in an adjacent door. (note: if you pick door A, and they say its adjacent, this means it HAS to be door B)

You then get a second guess.

What are the chances of winning the game if you pick door A or F? What about picking B, C, D, or E?