A game show contestant has to choose one of three doors. Behind one is a car, and behind the others are goats. The probability of the car being behind any given door is one in three. After the contestant has chosen a door, the host - who knows where the car is - points to another door, different from the one chosen, and opens it to show that there is a goat behind it. The contestant is now givin the choice of changing from the door they originally picked to the one they did not choose to begin with and which the host has not opened.

Should the contestant switch or stay with their original choice?

Good luck!