The Monty Hall Paradox. Marilyn vos Savant described the following problem(loosely based

Chapter 4, Problem P4.26

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The Monty Hall Paradox. Marilyn vos Savant described the following problem(loosely based on a game show hosted by Monty Hall) in a popular magazine:Suppose youre on a game show, and youre given the choice of three doors: Behindone door is a car; behind the others, goats. You pick a door, say No. 1, and the host,who knows whats behind the doors, opens another door, say No. 3, which has agoat. He then says to you, Do you want to pick door No. 2? Is it to your advantageto switch your choice?Ms. vos Savant proved that it is to your advantage, but many of her readers, includingsome mathematics professors, disagreed, arguing that the probability would notchange because another door was opened.Your task is to simulate this game show. In each iteration, ran domly pick a doornumber between 1 and 3 for placing the car. Randomly have the player pick a door.Randomly have the game show host pick one of the two doors having a goat. Nowincre ment a counter for strategy 1 if the player wins by switching to the third door,and increment a counter for strategy 2 if the player wins by sticking with the originalchoice. Run 1,000 iterations and print both counters.