Monty Hall Problem Essay

1093 words - 5 pages

A letter from Craig. F. Whitaker of Columbia to the "Ask Marilyn" column in the parade magazine in 1990 asks, "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, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?"
Marilyn vos Savant had answered that you should switch every time. An easier way to explain, she added, was "suppose there are a million doors, and you pick door #1. Then the host, who knows what’s behind the doors and will always avoid the one with the prize, opens them all except door #777,777. You’d switch to that door pretty fast, wouldn’t you?"
However, readers weren't convinced. Marilyn vos Savant started receiving criticism. Each day she was receiving tons on mail, phone calls, and fax for her answer to the Monty Hall problem alone. Readers said that the odds of getting the prize was 50% because there are 2 doors. Even with mathematical proof, readers remained stubborn. For example, Paul Erdős, a Hungarian mathamatician had even argued against Marilyn vos Savant. He had only caned his ind after he was shown a computer simulation. But, without Marilyn, many people would not have heard about the Monty Hall problem. She made this the problem known and after that event, it was later called the Monty Hall problem.
The Monty Hall Problem had earned its name from a hit TV show called Let's Make A Deal. It was named after the original host, Monty Hall who help start the show in 1963 with the help of Stefan Hatos. Born in August 25, 1921, Monty Hall moved to the United States in 1955, at age 34.
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Before Let's Make A Deal was created, Monty Hall was named Monty Halperin. When he was entitled to the host of his new game show, they made his stage name, Monty Hall. After 23 years though, Monty Hall retired and Wayne Brady took his place.
Let's Make A Deal is a game show where the participants are forced to take risks or play safe for a chance to win a prize. They can be either good prizes or bad prizes, but when a participant takes a risk, but ends up getting a bad prize, it is nicknamed a zonk prize. The participants can win many varying prizes such as cars, trips for a nice vacation, or if they are unlucky, nothing at all. Most of the audience members arrive with crazy and ridiculous costumes to attract the host's attention. The host usually chooses a couple lucky people in the audience for a chance to win a prize. Every time, the challenge can be something different. For example, they will have to play a game or choose between a box and a door.
Another example of the Monty Hall Problem is to imagine that you playing a game with a friend who presents you with 3 cups placed upside down. Under one cup contains a quarter. Under the other two cups have nothing hidden under them....

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