You will explore a classic problem in probability called the Monty Hall problem, named after the host of a former American TV game called Let's Make a Deal, which featured the game described below. In the game, a contestant is shown three doors, labelled 1, 2 and 3. Two of the doors have a goat behind them and the other has a car. The contestant choses a door hoping to pick the car, but this door is not opened yet. Then the game show host secretly examines what is behind the other doors and selects one that has a goat (if both doors have goats, he picks one of them randomly). This door is eliminated from the game, leaving the door the contestant selected and another door, which we will refer to as the alternative door. The contestant is then asked whether they want to stick with their original door, or to switch to the alternative door. In this simulation you will play the Monty Hall game many times to decide whether the contestant has a better chance of winning the car if they stick with their original door or switch to the alternative door. a.Launch BlueJ, open the project