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What Are My Odds of Stealing the Mirzakhani Wand?

762.3K views
•
January 26, 2023
by
TED-Ed
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What Are My Odds of Stealing the Mirzakhani Wand?

TL;DR

Your odds of successfully stealing the Mirzakhani Wand are 50/50 after a henchman seals a random stone to a platform, complicating the task. If the first stone occupies the keystone's platform, you lose; otherwise, you continue to place stones, balancing equal chances of success or failure throughout the process.

Transcript

The fabled Mirzakhani wand is the most powerful magical item ever created. And that’s why the evil wizard Moldevort is planning to use it to conquer the world. You and Drumbledrore have finally discovered its hiding place in this cave. The wand is hidden by a system of 100 magical stones— including a glowing keystone— and 100 platforms. If the keys... Read More

Key Insights

  • 🥌 The Mirzakhani Wand is hidden in a cave with a complex system of stones and platforms, making it a challenging task to reveal it.
  • 🦕 Due to the henchman's interference, the protagonist's odds of success become uncertain and dependent on the placement of the first stone.
  • 🥇 The process of placing stones follows a pattern of either reaching pedestal 1 or pedestal 100, ultimately determining success or failure.
  • 😉 The alternate game of generating random numbers highlights the equal chances of winning and losing in this situation.
  • 🤞 The felush felucious potion provides temporary luck but does not change the overall odds of success and failure.
  • 🤞 The protagonist must weigh the 50/50 chance of a cave-in with the possibility of using the felush felucious potion to enhance their luck.
  • 🖐️ The element of luck plays a significant role throughout the challenge, and the protagonist's decision-making is influenced by these odds.

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Questions & Answers

Q: What is the significance of the keystone in finding the Mirzakhani Wand?

The keystone is the key to revealing the wand. Placing it on the correct platform will trigger the wand's appearance, but an incorrect placement will have dire consequences.

Q: What happens if a stone is placed on an occupied platform?

The protagonist's spell will cause a random unoccupied platform to glow, indicating that the stone should be placed there instead. This adds another layer of complexity to the task.

Q: How do the odds of success change throughout the process?

The odds of success are equal to the odds of failure. Each placement of a stone either brings the protagonist closer to winning (pedestal 1) or losing (pedestal 100), with some chances to delay the decisive moment.

Q: How does the felush felucious potion impact the odds of success?

The felush felucious potion grants extraordinary luck, giving the protagonist a temporary advantage. However, the overall odds of success and failure remain the same, except for a 1 in 100 chance of an immediate loss.

Summary & Key Takeaways

  • The Mirzakhani Wand, the most powerful magical item, is hidden in a cave with a complex system of magical stones and platforms.

  • If the correct platform for the keystone is chosen, the wand will be revealed, but if placed incorrectly, the cave will collapse.

  • A henchman seals a random stone to a random platform, introducing uncertainty to the task. The protagonist's odds of success are explored.


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