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Understanding the Monty Hall Problem And Why it Matters?

The famous Monty Hall problem has baffled many over time, at least the ones who understand its, given its simple yet confusing nature. The problem made probability sound interesting way before probability featured in movies that showed gambling onscreen. Statistics assignment experts say that students should try and understand Monty Hall, as it is one of the few things that could help them sound interesting and hip; a trait often not seen in grads pursuing statistics. But if you have read this problem enough times and it still isn’t making any sense to you, then let us have a look at this problem to help you understand why being a probability genius could help you make smarter deals. According to top college homework help services, a comprehensive study of this problem could make up for an interesting assignment topic.

Why the Name “Monty Hall”?

The first thing that comes to any one’s mind is “Why the problem was named  Monty Hall at first place?” No, Monty Hall was no scientist who discovered or posed such problem, but a host of American television show named “Let’s Make a Deal”, in 1963. In the show, the host, Monty Hall in this case, would have three doors, curtains, or boxes on stage. One door would have a prize, while the other two would we duds. The participants, or traders, are then asked to pick up the one having the prize behind it.

Would You Change Your Choice?

The problem was formally recognized and posed by Steve Selvin in 1975, in his letter to the scientific journal American Statistician. This is how Steve puts it:

Suppose there are three doors, labeled 1, 2,3. One has a car, while the other two have goats. On being asked by the show host, you pick, say, door #1. But the host, who knows what all doors hold, opens up, say, door #3. This door has a goat. The host now asks you whether you would like to change your choice of door or stick with #1 instead. What should you do?

Will it Make Sense to Change Your Choice?

This is how the game unfolds. Statistics assignment experts say that at the beginning you didn’t have any knowledge what the doors held. So your chances were ⅓ of winning the car. But after the host showed you that door #3 has a goat, you are left with two choices. This is condition is somewhat different than choosing when you are given two random doors at very start itself. So if a contestant switches, and chooses door#2, then he has a ⅔ chances of winning the game, as compared to ⅓ of those contestants who stick with their initial choice.

However, this response, along with its explanations, by Marilyn Vos Savant', an American lecturer and author who once held the Guinness book record of highest recorded IQ, wasn’t received well by the readers of Parade magazine in 1990. Many wrote back that the many explanations by Savant’ didn’t make any sense, and to switch or not switch doesn’t have any impact upon the final outcome. But finally, in the year 1999, a computer-generated simulation showed the Savant indeed was right. Top college homework help services say that those computer simulations and other works regarding Monty Hall should be read to understand probability better.