Create easyChallenge9.txt

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, but you don't know what's behind it. The host knows, what's behind the doors and opens a door, which is not your door and which has a goat. He then asks you, whether you want to pick the other door. Is it to your advantage to switch your choice?

a) Write a simulation of the problem and print the approximate probability of winning the car, if you don't switch your choice.
b) Print the approximate probability of winning the car, if you switch your choice.