Card tricks have been a staple of magic shows for centuries. One of the most popular card tricks is the 3 pile card trick, also known as the Monty Hall problem. This trick has amazed audiences for years and continues to be a favorite among magicians. In this article, we will explain the 3 pile card trick and how it works.
What is the 3 Pile Card Trick?
The 3 pile card trick involves a magician selecting a card from a deck and placing it face down on the table. The magician then deals the remaining cards into three piles, with the chosen card ending up in one of the piles. The magician then asks the audience to choose one of the piles, and then proceeds to eliminate one of the other two piles. The audience is then given the option to stick with their original choice or switch to the remaining pile, with the magician revealing the chosen card at the end.
How Does it Work?
The 3 pile card trick is based on probability and mathematical principles. When the magician initially deals the cards into three piles, there is a 1 in 3 chance that the chosen card will end up in any given pile. However, when the magician eliminates one of the other two piles, the probability of the chosen card being in the remaining pile increases to 1 in 2. This is because the eliminated pile contained cards that were not the chosen card, therefore increasing the probability of the chosen card being in the remaining pile.
The magician then gives the audience the option to stick with their original choice or switch to the remaining pile. If the audience chooses to switch, their chances of choosing the correct pile increase to 2 in 3. This is because the eliminated pile contained cards that were not the chosen card, therefore increasing the probability of the remaining pile containing the chosen card.
Why is it Called the Monty Hall Problem?
The 3 pile card trick is also known as the Monty Hall problem, named after the host of the game show "Let's Make a Deal". The Monty Hall problem involves a game show contestant being given the option to choose one of three doors, with a prize behind one of the doors. The host then opens one of the other two doors to reveal that it does not contain the prize, and gives the contestant the option to switch to the remaining door. The probability of winning the prize increases if the contestant switches to the remaining door, just like in the 3 pile card trick.
Conclusion
The 3 pile card trick is a classic card trick that continues to amaze audiences. While it may seem like magic, it is based on mathematical principles and probability. Understanding the principles behind the trick can help you appreciate the skill and talent of the magician who performs it.
