Assignment:
Game simulation.
In the game show Let’s Make a Deal, a contestant is presented with three doors. Behind one door is a valuable prize, behind the other two are gag gifts. After the contestant chooses a door, the host opens up one of the other two doors (never revealing the prize, of course).

The contestant is then given the opportunity to switch to the other unopened door. Should the contestant do so? Intuitively, it might seem that the contestant’s initial choice door and the other unopened door are equally likely to contain the prize, so there would be no incentive to switch. Write a program MonteHall_YI.java to test this intuition by simulation.

Your program should take an integer command-line argument n, play the game n times using each of the two strategies (switch or don’t switch) and print the chance of success for each strategy.

End the program with a message stating the conclusion: Is a bigger chance of winning if you switch to a different door?