Consider a similar problem to the Monty Hall problem:In this problem, instead of 3 doors, 1 car, and 2 goats, instead there are 4 doors, 2 cars and 2 goats.As in the Monty Hall problem, the player chooses a door, and then the host opens a door hiding a goat. With simulation or hand calculation, calculate the probability that switching into a door will lead you to a car. Enter your answer as a fraction or decimal in the following box:______