๐Ÿ’ฐ Math Goes Pop! - Interview Roulette

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You're forced to play Russian Roulette with a 6-cylinder pistol. Solve this logic sequence puzzle by the correct digit- = 6 = 0


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The Russian roulette puzzle โ€“ Mind Your Decisions
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One Of The Best Logic Puzzles Ever

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A Probability Brain Teaser: You are in a game of Russian Roulette with a revolver Probability Probability puzzles require you to weigh all the possibilities and pick the most likely outcome. The logic puzzle game that has swept the nation.


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Today's article covers a couple of variations on the Russian roulette the mathematical subjects including geometry, probability, logic, and.


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Puzzles for days! - Roulette's Play Missing Translation - Part 1 - Let's Play Puzzle Adventure

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Mathematics of Roulette

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A Probability Brain Teaser: You are in a game of Russian Roulette with a revolver Probability Probability puzzles require you to weigh all the possibilities and pick the most likely outcome. The logic puzzle game that has swept the nation.


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Can you solve the famously difficult green-eyed logic puzzle? - Alex Gendler

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Answer to Puzzle # Two Bullet Russian Roulette. We are to play a version of Russian Roulette, the revolver is a standard six shooter but I will put two.


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CONTROL - Golden Suit - Roulette Puzzle Guide

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You're forced to play Russian Roulette with a 6-cylinder pistol. Solve this logic sequence puzzle by the correct digit- = 6 = 0


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Math and Logic Puzzles #2 - Picking Your Turn in Russian Roulette

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Control is filled with plenty of mind-bending visuals and equally trippy puzzles. However, hidden behind a Level 5 security door in the Luck.


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Answer to Puzzle # Two Bullet Russian Roulette. We are to play a version of Russian Roulette, the revolver is a standard six shooter but I will put two.


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5 Logical Puzzles That'll Take Time to Crack

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Today's article covers a couple of variations on the Russian roulette the mathematical subjects including geometry, probability, logic, and.


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How to win the roulette game, with previous numbers recording.

Interview Roulette February 21, {/INSERTKEYS}{/PARAGRAPH} Everything else about the problem is the same - he shoots at you, but the first shot is empty, and then asks if you want the chamber to be spun before he fires again. Now let's throw another wrench into the machinery. Fortunately, you don't need to know the configuration in order to compute the probability. Let's consider first what happens if the barrel is spun after the first shot is fired. The rest of the story is the same as before: he fires, nothing happens, and tells you he'll fire again. How do things change as the arrangement of k bullets varies? The modified figure below shows there is only one such empty chamber. In this case, any one of the chambers is equally likely to end up in the firing position. Potential configurations of bullets in a six shooter assuming there's at least one empty chamber. Let's suppose the gunslinger puts a bullet in the chamber, then spins the chamber, then puts a second bullet in the chamber. What if he doesn't always fire the shots in a row, but sometimes stops to spin the barrel? Do you see the pattern emerging? I'll stop here for now, but the interested reader could continue to push the envelope. Once again, if there are no bullets in the chamber, your probability of success is 1. In this case, there are three possible configurations:. Let's suppose the chamber of the gun has two bullets, but the bullets aren't necessarily adjacent. If there are two barrels in the chamber, they are separated by either 0, 1, or 2 empty chambers in between them. The situation can be visualized as follows:. You can check it out here! I put the gun to your head and pull the trigger. If there are no bullets in the chamber, your probability of success is 1. See how I put them in two adjacent chambers? What if, instead of firing only one shot, the gunslinger fires multiple shots? With this analysis, we see the probability of success if you never spin is equal to. Here's the barrel of the gun, six chambers, all empty. If the first empty chamber is the red one, you will get shot. All we need to consider is how many bullets are in the chamber. Here it is, with wording taken from the book: "Let's play a game of Russian roulette," begins one interview stunt that is going the rounds at Wall Street investment banks. Here's one way we can try to think of this problem in a larger context. In this case, you don't know what the arrangement of the bullets will be; on the plus side, you do know the configuration must be one of the three shown in Figure 3. Suppose the gun holds n bullets instead of 6. But from a mathematical standpoint, we've only just scratched the surface! You're still alive. I close the barrel and spin it. Otherwise, the second shot will be empty too. {PARAGRAPH}{INSERTKEYS}The presence of logic puzzles or seemingly unanswerable questions was once a staple of many job interviews in Silicon Valley, and while the book is much more than just a laundry list of good puzzles, it's hard to write about puzzles without giving some juicy examples. Be thankful this isn't the gun you're working with. What if you consider a revolver with a larger chamber? Since the probability of having 0 or 1, or 2, Now let's suppose you decide to never spin. Lucky you! If you ever are presented with a question like this, you will now be able to answer with confidence. Notice that in every case, there are 4 empty chambers. Click the image to go to the source. But wait, there's more! Intuitively this makes sense - when you don't spin the barrel, that first empty chamber is no longer in play, so to speak. On the other hand, if the barrel is not spun, the only way the gun will fire is if the empty chamber from the first time the trigger is pulled is replaced by a chamber with a bullet. If you spin the chamber, then any one of the chambers is a potential candidate for the second shot. But if the chamber is not spun, the first case has a distinct advantage over the second and third. Figure 3. Figure 4. Things can quickly get complicated, but answers to many of these questions are well within reach, provided you have a good understanding of the case we've seen here. What should one do if k bullets are placed into the chamber and the same game is played? Though if anyone ever says they will shoot you in a job interview, you may be better off walking. Suppose he's equally likely to put 0 bullets in the chamber as he is to put in 1, 2, 3, 4, or 5. Let's suppose this dastardly gunslinger puts some number of bullets between 0 and 5 in the chamber, so that you don't know how many bullets are in the chamber or their configuration. Today I'd like to talk about one of the earliest puzzles discussed in the books, and show how one can pretty quickly poke and prod this brain teaser until it becomes a different beast entirely. What if you don't even know how many bullets are in the chamber? Figure 2. Which would you prefer, that I spin the barrel first, or that I just pull the trigger? First, let's suppose you always decide to spin. Figure 1. White chambers are empty, black chambers have a bullet. This turns the original strategy on its head! How to things change as the value k changes? We've already considered the case on the left. It's up to you to decide whether or not you want him to spin before he pulls the trigger a second time. As far as the original riddle is concerned, there's nothing more to say. In this case, there are 12 potential configurations of bullets see above , but as in the case with two bullets, we don't need to know the full configuration of bullets to calculate the probabilities. Here's a gun.