

Probability puzzle 2: The Game Show Paradox Discussions List View Topic Settini Probability Puzzle 2: The...
The Game: Suppose you're on a game show, and you're given the choice of 3 doors. Behind one door is a car, behind the others, goats. You start by choosing a door, say number 1, which remains closed for now. The game show host, who knows what's behind the doors, opens another door, say number 3, which reveals a goat. He says to you, "You've already chosen door number 1, now that I've shown you a goat behind door number...
1. Game simulation, Java programming. In the game show Let’s Make a Deal, a contestant is presented with three doors. Behind one of them is a valuable prize. After the contestant chooses a door, the host opens one of the other two doors (never revealing the prize, of course). The contestant is then given the opportunity to switch to the other unopened door. Should the contestant do so? Intuitively, it might seem that the contestant’s initial choice door and the...
Question 1: Consider the following Monty Hall problem. Suppose you are on a game show, and you are given the choice of three doors. Behind one door is a car, behind the others, goats. You pick a door, say #1, and the host, who knows what is behind the doors, opens another door, say #3, which has a goat. Here we assume that the host cannot open the door to expose the car and when he can open either of...
126. An article entitled "Behind Monty Hall's Doors: Puzzle, De- bate and Answer?" appeared in the Sunday New York Times on July 21, 1991. The article discussed the debate that was raging among mathematicians, readers of the "Ask Marilyn" column of Parade Magazine and the fans of the TV game show "Let's Make a Deal." The argument began in Septem- ber, 1990 when Ms. Vos Savant, who is listed in the Guinness Book of World Records Hall of Fame for...
A debate recently erupted about the optimal strategy for playing a game on the TV show called "Let's Make a Deal." In one of the games on this show, the contestant would be given the choice of prizes behind three closed doors. A valuable prize was behind one door and worthless prizes were behind the other two doors. After the contestant selected a door, the host would open one of the two remaining doors to reveal one of the worthless...
5. Consider the Monty Hall Problem. A game show host shows you three doors, and indicates that one of them has a car behind it, while the other two have goats. You win a car if you end up choosing a door with a car behind it. The game is conducted as follows: • You pick an initial door out of the three available. • The game show hosts then opens a door (out of the remaining two doors) with...
Monty Hall Problem - Suppose you are going to be on a game show, and you will be given the choice of three doors: Behind one door is a car; behind the other two doors are goats. You pick a door, say No. 1, and the host, who knows what's behind the 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...
A contestant on a game show is offered a choice of 4 boxes. one of the boxes contains a diamond and the other three boxes each contain a pebble. tThe contestant cannot see into the boxes and so does not know which box contains the diamond. First the ontestant selexts a box. Host opens it ait to reveal a pebble. ( The host know the boxes and choose normaly between boxes containing pebble.). The host then ask the contestant if...
please help in java Monty Hall was a television game show host years ago. The contestant would have 3 doors to choose from. There was always a prize behind one door and goats behind the other two doors. The contestant would choose a door. Monty Hall would then open a door following these rules: Not a door the contestant chose and not the winning door. Monty ALWAYS showed a goat. He'd then ask the contestant if they wanted to change...
1.3 Cars and goats: the Monty Hall dilemma On Sunday September 9, 1990, the following question appeared in the "Ask Marilyn" column in Parade, a Sunday supplement to many newspapers across the United States: Suppose you're on a game show, and you're 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 doors, opens another door, say No. 3,...