Can you solve the cheating royal riddle? - Dan Katz

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You’re the chief advisor to an eccentric king who needs to declare his successor. He wants his heir to be good at arithmetic, lucky, and above all else, honest. So he’s devised a competition to test his children, and ordered you to choose the winner. The future of the kingdom is in your hands. Can you find the worthiest successor? Dan Katz shows how.

Lesson by Dan Katz, directed by Artrake Studio.

Thank you so much to our patrons for your support! Without you this video would not be possible! Clement, Hadi Salahshour, FAWWAZ GHUWAIDI, Dino Biancolini, Reagen O'Connor, Nicu Boanda, Cindy O., Karla Brilman, Jørgen Østerpart, Sergi Páez, rakesh Katragadda, Carolyn Corwin, Charlene You, Boris Langvand, Exal Enrique Cisneros Tuch, Carsten Tobehn, Kin Lon Ma, Katie Dean, Ezgi Yersu, Eunsun Kim, Katrina Harding, Gerald Onyango, alessandra tasso, Astia Rizki Safitri, Côme Vincent, Antony Lee, Melissa Sorrells, Rakshit Kothari, Doreen Reynolds-Consolati, Simon Holst Ravn, Manognya Chakrapani, Ayala Ron, Samantha Chow, Philippe Spoden, Phyllis Dubrow, Michelle Stevens-Stanford, Cas Jamieson, Ophelia Gibson Best, Amber Wood, Paul Schneider, Jun Cai, Tim Robinson, Henrique 'Sorín' Cassús, cnorahs, Lyn-z Schulte, Elaine Fitzpatrick, Karthik Cherala, Clarence E. Harper Jr., Milad Mostafavi and Аркадий Скайуокер.

[Hanlb]

Cassandra stans be like: "1 in 13 nonillion is still possible."

[Imamotherfreakingavocado]

Plot twist: Cassandra doesn't care that she didn't get to be queen because she's so lucky that she ends up walking into Paul Rudd whenever she goes anywhere.

[itsonlyafleshwound]

So, just a reminder: Draco would have won if he had picked 420

[dizzy_jump]

90% of comments are about cassandra, so they're disqualified.

[minhaiqbal]

Draco's father will hear about this.

[lukasi]

If Cassandra did, in fact, play fair, she would be the unluckiest luckiest person ever. Imagine you win fair and square in a 1/13 nonillion chance just to be disqualified because someone isn't sure whether you cheated or not.

[isavenewspapers]

“Upon inspection, most of these scores are concerning.”

Hilarious line. No idea why, but it’s comedic gold. Incredible.

[WERTYUIO]

After this riddle, Cassandra lives a luxurious, yet depressing life with no meaning as she won 13 lottery tickets in a row, met a perfect husband that she doesn't know if she loves her for who she is or money and has perfect children that stop visiting after she destroyed them in every game they played when they were young(can not lose even when she wanted)

[Emma-zzjz]

I feel like Cassandra did actually roll a 700 just because her name is Cassandra, like the Cassandra from Greek mythology who was cursed with having accurate prophecies that no one believed

[unrellated]

Cassandra's score is still more likely than finding Paul Rudd in Mali, and then finding him again in Brazil five seconds later.

[firephoenix]

This is a theory that Cassandra is not faking.
At 2:43, you can see Cassandra changing her smile in a seemingly anticipated way when the narrator says "That's theoretically possible". This indicates that she knows how absurd the odds are, and is hoping that they might believe her. And we know that Cassandra can hear the narrator speaking, because, at 4:39, unlike the rest, Draco is doing a facepalm, indicating that he knew he was close, and the only thing he needed to do was to be good at math.
Also, at 3:43, she seems genuinely sad. Like in a "Nobody believes me!" sad.
But the biggest piece of evidence is in Greek mythology. Cassandra is a prophet who was blessed by Apollo when Cassandra was in a relationship with him. When Cassandra decided to break up with Apollo, he cursed Cassandra to speak true prophecies, but nobody believes her. And as the saying goes, history repeats itself, so coincidence, I THINK NOT!

[musiccollection]

alexa was unlucky with the dice but she was "lucky" that everyone else disqualified. (king wanted heir to be lucky)

[mattskord]

Please make Paul Rudd a recurring character

[wyrmshard]

Everyone expecting the Kingdom of PI to be RATIONAL is asking for the impossible

[CarolineGorman-yboc]

I'd like to add that Alexa revealing her TRUE SCORE, no matter how low it was comparatively, shows great honesty. She could've easily brought it up a few digits in the hope of beating her siblings for the highest score, but she was honest with the value she earned, even when it was the lowest of all.

[nyanSynxPHOENIX]

Remember! The rules wasn't just about luck, it was about logic too. Even IF Cassandra played fair and got 700, she would have OBVIOUSLY known that it is an unbelievable number, and faked it to a lower one. The only real rule was to get a number that is the highest multiple of 5 that stays within the general bell curve of the probabilities of the total score. Picking 495 would get you an easy win. Even picking 425 instead of 423 would've won.

[darkflix]

Plot twist: The king wanted to test you.
You are:
1. Arithmetic
2. Honest and
3. So lucky that you spotted Paul Rudd randomly twice.

[parkerdude]

Imagine the advisors just going: “ Too high, too improbable, not a multiple of 5, and your the only one left standing.”

[ncientGu]

Honestly, it's not the worst method of selecting a heir.

It picked out three people who for various reasons, shouldn't be rulers.

[stinkytoby]

As a programmer, I thought "I'll just simulate this instead of thinking about it logically"
On my first run of 20 rolls, I got 385 as a result, and I was pretty sure I knew the answer from then.