Exercise 18 In the 1970's, Monty Hall ran a game show on TV. He offered the following game to the candidates: There are three doors, behind each door is a reward. One of the rewards is a sports car. Behind the other doors are goats. At the start of the game, all doors are closed. Monty Hall knows what is behind each door, but the candidate cannot see it. The candidate gets to choose one of the doors. Then Monty Hall opens one of the other doors, and reveals a goat. Of course, Monty Hall doesn't want to reveal which door has the car, so he will always open a door that has a goat behind it. Now the candidate sees two closed doors and one open door with a goat. Monty Hall asks: „Do you want to stay with your first choice, or do you want to switch to another door? You are going to win whatever is behind the door you choose now." What would you do? Compute the probability to win the car and explain.

Exercise 18 In the 1970's, Monty Hall ran a game show on TV. He offered the following game to the candidates: There are three doors, behind each door is a reward. One of the rewards is a sports car. Behind the other doors are goats. At the start of the game, all doors are closed. Monty Hall knows what is behind each door, but the candidate cannot see it. The candidate gets to choose one of the doors. Then Monty Hall opens one of the other doors, and reveals a goat. Of course, Monty Hall doesn't want to reveal which door has the car, so he will always open a door that has a goat behind it. Now the candidate sees two closed doors and one open door with a goat. Monty Hall asks: „Do you want to stay with your first choice, or do you want to switch to another door? You are going to win whatever is behind the door you choose now." What would you do? Compute the probability to win the car and explain.

Name: Exercise 18 In the 1970's, Monty Hall ran a game show on TV. He offer
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: Exercise 18 In the 1970's, Monty Hall ran a game show on TV. He offered the following game to the candidates:There are three doors, behind each door is a reward. One of the rewards is a sports car. Behind the other doors aregoats. At the start of th