In C$++$ please

You are a contestant on a game show and have won a shot at the grand prize! Before

you are three doors. Behind one door is $$1,000,000$ in cash. Behind the other two

doors are the consolation prizes: a box of rice$-$a$-$roni. The location of the prizes has

been randomly selected. Naturally, you want the cash! The game show host asks you

to select a door, and you randomly pick one. However, before revealing the contents

behind your door, the game show host reveals one of the other doors that contains a

consolation prize. At this point, the game show host asks if you would like to stick

with your original choice or switch your choice to the remaining door. What choice

should you make to optimize your chances of winning the grand prize, or does it

matter?

Write a simulation program to help you make your choice. Your program should

make $1000$ simulated runs through the game show scenario where the player sticks

with the original choice, and $1000$ runs where the player switches doors. This could

be the same program where you comment$/$uncomment some code that determines

if the player stays or switches doors $($or do them both in the same program$).$ For all

$1000$ runs the program should count up how many times the player won the cash.

The steps your program should make to simulate the game are:

$1.$ Randomly select a door to have the cash prize $($this could be a random number

that is $0,1,$ or $2).$

$2.$ Randomly select a door for the player to pick $($another random number that is

$0,1,$ or $2)$

$3.$ Compute a door that isn't the player's pick that doesn't have the cash prize

and reveal it

$4.$ Stick with the original choice or switch to the remaining door, depending upon

what is being tested

$5.$ Determine if the final door selection has the cash, and if so$,$ increment the

number of times won

Be sure that your program simulates the process of selecting the door, revealing one,

then switching. Do not make assumptions about the actual solution. Turn in your

code, along with your answer of what choice to make based on your program's

output.

Insd