The Lets Make a Deal problem goes like this:

"Suppose you're on a game show, and you'r

e given the choice of three doors: Behind one

door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who

knows what's behind the other doors, opens another door, say No. 3, which has a goat. He

then says to you, 'Do you want to

pick door No. 2?' Is it to your advantage to take the

switch?"

Write a Matlab

/Excel

program that simulates the playing of this game 5000 times. Prove

that the better decision (In terms of greater probability to win the car) is to switch from

our original

selection