Can you solve the secret assassin society riddle? - Alex Rosenthal

1,091,209 views ・ 2023-11-07

TED-Ed


Please double-click on the English subtitles below to play the video.

00:07
Your agent is about to infiltrate a life or death poker game
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in a hidden back room of the grand casino.
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You’re on the trail of an elite society of assassins,
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each of whom carries a signature playing card corresponding to their role.
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You’ve received intel from a 100% reliable source about how they operate.
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Their M.O. is to invite their victims to a high stakes game
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with one or more killers at the table.
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The game is a variant of poker played with a single, fair deck
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where every player receives two cards in secret.
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Each assassin immediately and covertly swaps one of the cards
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they’ve been fairly dealt with their signature card.
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Then the robo-dealer reveals three shared cards on the table.
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After betting, the assassins play their signature cards
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as a signal that they’re ready.
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When the last one comes out, they go about their grim business.
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01:03
Today's game is no different,
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and your mission is to identify the assassins and save all the victims.
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Everyone at the table is either an assassin or a victim,
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and there must be at least one of each.
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The game is about to begin when your agent finds the secret passage
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and talks her way into a seat at the table.
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Meanwhile, you’re monitoring the proceedings with an insect drone.
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If you can figure out who has swapped out a fairly dealt card with a new one,
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you can identify the assassins and alert your agent through her earpiece.
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The game begins.
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Your drone doesn’t catch anyone’s sleight of hand,
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but it does manage to get a look at the cards each player holds.
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Suddenly — disaster.
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Someone swats the drone,
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breaking your video feed before the reveal of the shared cards.
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It goes into emergency mode and is just operational enough
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to send the following string of data about those three shared cards
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before shutting down for good.
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And that’s it; you’ve lost your eyes and ears in the room.
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Your spy can’t see anyone else’s cards or tell you anything,
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so it’s up to you to figure this out, and fast.
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Who are the assassins?
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Pause here to figure it out yourself.
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Answer in 3
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Answer in 2
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Answer in 1
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You can start by combining the first two rules.
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The second tells us that there are at least two queens,
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and the first that there's at least one king.
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So we must have two queens and a king.
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The first rule then tells us that the king is either in the middle or the left.
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That’s all we can do for now, so let’s look at the suits.
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By the same logic, we know that there must be two spades and one heart.
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And by the third rule, that heart must be in the middle or on the right.
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We can now make a table with our four possibilities.
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We can eliminate this one,
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because it would require the deck having two queens of spades.
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We can’t rule out any other options, but we don’t actually need to;
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in every case, the three cards are the king of spades, the queen of hearts,
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and the queen of spades, in different orders.
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And it just so happens that each of these players holds one of those cards.
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So, they’re the assassins, right?
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Well, hold on, there’s something odd.
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Player 2 and the agent both hold the same card.
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So, one of those must be a signature assassin card.
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03:31
But you know from your Intel that there’s at least one victim who is not the agent.
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How can that be?
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Oh, no. There’s only one possibility:
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your spy is the assassin known as the king of diamonds,
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and she’s been playing you this whole time.
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The only victim is player 2.
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You rush in, grab hold of player 2 just before the bidding ends,
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and make a run for it.
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On your way out, you lock eyes with your backstabbing partner.
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You search her features, desperate for any sign of remorse or apology.
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All you get back is a poker face.
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