all questions with explanation There is a game show where there is a car behind 1 of three doors. The player picks a door that may or may not have the car behind it. The host decides to open one of the doors that doesnt have a car behind and gives the player a chance to switch to the other door. given: there is a 2/3 probability that switching to the other door will win. (g) What is the probability for the player to win by always switching to the only remaining door? (h) Suppose that after the host opens all remaining doors except B, the player flips a fair coin, gets the tail, and this entails him to switch to door B. What is his probability of winning? (i) Suppose that without knowing the player's choice (say, A) the host opens at random (n 2) doors without the car, which turns out to be different from the player's choice. 1. What is the probability for the player to win by always switching to the only remaining door (say, B)? 2. What is the probability for the player to win by never switching the door? please solve this using math and explain, and dont copy another persons answer. Thanks