Completed using Java...

Programming Project 3.1 Let's Make a Deal! This project is based on the following modification-proposed by Marilyn Vos Savant-to the game show "Let's Make a Deal." A contestant is given a choice of three doors. Behind one door there is an expensive car; behind each of the other doors there is a goat. After the contestant makes an initial guess, the announcer peeks behind the other two doors and eliminates one of them that does not have the car behind it. For example, if the initial guess is door 2 and the car is behind door 3, then the announcer will show that there is a goat behind door 1 If the initial guess is correct, the announcer will randomly decide which of the other two doors to eliminate For example, if the initial guess is door 2 and the car is behind door 2, the announcer will randomly decide whether to show a goat behind door 1 or a goat behind door 3. After the initial guess has been made and the announcer has eliminated one of the other doors, the contestant must then make the final choice. Develop and test a program to determine the answer to the following questions: 1. Should the contestant stay with the initial guess, or switch? 2. How much more likely is it that an always-switching contestant will win instead of a never-switching contestant? For the sake of repeatability, the following system tests used a seed of 100 for the random-number generator. (continued on next page) Please enter the number of times the game will be played: 10000 Please enter 0 for a never-switching contestant or 1 for always-switching: 0 The number of wins was 3330 System Test 2: Please enter the number of times the game will be played: 10000 Please enter 0 for a never-switching contestant or 1 for always-switching: 1 The number of wins was 6628 Based on the output, what are your answers to the two questions given above? the game will be played. Hypothesize how likely it is that the always-switching contestant will win. Modify and project until your hypothesis is confirmed.) Suppose, instead of working with three doors, the number of doors is input, along with the number of times running your