You are a contestant on the all new "Let’s Make A Deal" with Montana Hill. Montana brings you up to play the 6 doors game. Behind one door is $1200. Behind another door is $120. Behind the other 4 doors is $0. The game works just like Monty’s version in that the prizes are randomly distributed and, after you choose a door, Montana will open a door (which will always hide $0) and give you the opportunity to switch your choice.(A) What is your probability of getting a prize (of either $1200 or $120) if you switch your guess after Montana opens one door?(B) After playing the game, Montana gives you the opportunity to buy a chance to play again. What is the fair price you should be willing to pay to play this game?