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Ok... I just realised... This is my 2nd straight win... I got last riddle right, and now this one too... Edit: to be fair... Out of all the riddles this was the simplest
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.
Even if they mis-add, that isnt a problem. Remember, they have to be good at arithmetic anyway, so if they mis-add, that just proves another criteria wrong
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.
Marko Gjakovski that isn’t completely true. There are more permutations to achieve a sum of that but only one such set of numbers that add to be 700. Therefore, 385 is more common
*IF* Cassandra was TRUE, *THEN* she was : - Good at *Arithmetic* (Addition) - *Lucky* (To get Least Possible Number) - Honest But, again *UNLUCKIEST LUCKY*
If she did get a score of 700 she was damned either way. Either she tells the truth and no one believes her, or she lies and gives a lower score (in which case she's dishonest). The smart thing to do would have been to make up some score that was possible (i.e. a multiple of 5 between 100 and 700) that is greater than 400 (the expected value, and therefore being deemed lucky), but not so high that it would have
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
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)
It's possible but the feasibility is what really matters. If you win a lottery thrice in a row in a week, everyone will likely believe that you did something behind the scenes
@@DeathnoteBB Just because it's possible doesn't mean you will get jt it's like guessing a number i'm thinking between 1- 1 trillion Sure it's possible but the chances of guessing correctly is so unlikely that it may as well be impossible
In Greek mythology, Cassandra was cursed by Apollo to say perfectly true prophecies but be ignored by everyone. Perhaps her name and her "false" score were not coincidentally given...
After the event, Cassandra goes to a cassino, win everything. Then buys a lottery ticket, that she also wins. She may be not the Queen but she owns most of the kingdoms net worth 👍🏻
After that, the king begs for all of her riches, and even says she could be the queen if he had all of the money. Cassandra agrees, making her the queen. Due to this, the whole kingdom is lucky, and keep surviving meteors, tsunamis, tornadoes and hail with minimal damage and no deaths while doing absolutely nothing
The heir was supposed to be picked based on arithmetic, luck, and honesty. We know Alexa isn't lucky and might not be good at math. But she is honest. Cassandra is good at arithmetic and the odds are she is luckier than Alexa. But probably not honest. The only way Alexa wins is if honesty was the only factor.
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!
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.
@Sohanur Rahaman the thing is you need to be 90% sure they cheated, if it’s below that and is a reasonable answer then even without honesty you can win.
I used z-distribution to approximate though, the probability of getting 700 or more is around 1/trillion squared. You haved better chances of winning the megalotterly 3 times in a row. Anything above 470 would have less than 1% chances. best chance to win would be to fabricate 435 based on z score
@@Monochrome2004 this guy called dream, a very popular Minecraft RU-vidr, had a bit of a controversy a while ago where he was accused of cheating at speedrunning Minecraft. The issue was, like with Cassandra in this video, that he was being wayyyy too lucky to be mathematically plausible. So some people wrote a big maths paper to accuse him. And he, in turn, hired an anonymous astrophysicist to mathematically prove his innocence. He was not innocent though. The maths was pretty clear, despite the astrophysicist, and eventually he also admitted to cheating I think. (He lied and said it was somehow an accident or something, but he did admit that the speedruns weren't legit)
@@divergentlife493 Even if she did legitimately get 700, it's still unlucky that she got a high enough score to be suspected of cheating. So eliminating her was still valid.
@@divergentlife493 did you know the probability for flipping a coin and getting heads is 50%? And did you know the probability for flipping 100 coins and getting heads 100 times is also 50%? But I can assure you, if people saw someone flip a coin 100 times, and every time was a head? Those people would riot. No one would believe that was not rigged.
Comments be like: "Who let's their heir be chosen by a random dice roll?!" Actual Kingdoms: "Let's choose the heir by who got lucky and was born first!"
@@dsamurai4725 You misunderstood- I'm saying the idea that he thinks that "the eldest gets the throne" was a popular method of succession, historically, is strange.
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.
As a low level stats student i use z distribution to approximate and find that 435 is the highest score that gives more than 10% p-value. 470 for example is less than 1%
As an amateur math fan I calculated the average to 400 and since the dice had a propensity to roll higher I assumed 423 without checking the actual number combinations
Poor cassandra, she may the luckiest person alive but her the luck was beyond our logic so she got disqualified. Someone now write a book named cassandra's Redemption.
@@mslilymadeline she is the luckiest person, but not just not smart. now if she showed them her rolling the dice again 20x, I’m sure they would then know she didn’t cheat. But she wasn’t smart
@@notrowerz4654 That is true, although it complicates it since it said they need to be "above all honest", thus his honesty would be more important than his arithmetic skills
@@yasminlakeman8017 howeverrrrr you are wrong about it being complicated. the three qualities were honest, good at arithmetics, and lucky. honesty was above all else so we can assume arithmetic skills and luck are even in his book. _both_ alexa and draco were honest so the advisor had to look at the other attributes. alexa was good at arithmetics, although unlucky. draco was bad at arithmetics and.... we have no idea how lucky. so alexa wins.
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.
It's like that one story where a king decided to choose a successor by giving each kid a seed and telling them to plant them; whoever grew the most magnificent plant would be chosen. One kid can't get his seed to grow no matter what he tries, and when it's time to present the plants, everyone else has beautiful, healthy plants while he has an empty pot. The King then admits that all the seeds had been cooked, so it was impossible for any of them to grow, meaning everyone else got their plants from elsewhere while the one kid with the empty pot was the only one to come to him with "the empty truth", and so was chosen as successor.
Man i chose Cassandra because she was the only one that kept her eyes steadily on the screen at 2:00 and thus wasn’t lying like the rest of her shifty-eyed siblings
If Cassandra was just so lucky that she actually got a 700 but because of how unbelievable it is she is disqualified. DJ Khaled - Suffering from Success
I mean at that point you can always be dishonest and make your score 400. If you're smart enough to calculate the highest possible score you should be smart enough to calculate the expected average score if you repeat this dice-rolling infinite times...
Imagine being Cassandra: You actually get 700 with absolutely insane luck then get disqualified for being too lucky which is literally what the king is looking for in an heir
But he looked for honesty above all, and since the probability of Cassandra not being honest was very high, it’s understandable why she was disqualified
Only way to get 700 is 35 on every roll, which have 1/36 probability per roll. (1/36)^20 about 1/100 trillion squared. Better chances of winning mega jackpot 4 times in a row and getting struck by lightning in one month than that. But i'd put 700 just to troll them
@@FREEDOM80085 the rules never said that they only get disqualified if it was impossible, it only said that they'd be disqualified if you can reasonably say that you're 90% sure they cheated
Minecraft speedrunning mods: Dream had a one in 140 billion chance to get RNG this good, he's obviously cheating Cassandra's dice: Allow us to introduce ourselves.
What's more likely: Cassandra's rolls or tripping and falling through a foot of stone floor by having all your atoms sync up with the atoms in the floor and phase through? (btw due to quantum physics both are technically possible lol)
The atoms one is basically impossible because atoms never touch they push back. Even if your atoms align they will push back and stop you from falling through.
Nah I’m gonna take the chance that Cassandra is literally the luckiest person alive, can you imagine having someone like that in charge of the country?
Imagine, Cassandra did in fact play fair but you thought she was lying, she goes on to get orphaned and adopted by another royal family and rolls the exact same and that royal family also thinks she is lying then orphaned again but adopted by a normal family, she goes on to get struck by lightning and gets superpowers then gets a lottery ticket and wins.
You know, all this heir selection does is pick either the most honest candidate, or the one who's best at lying, and it's way more skewed toward those better at lying. Bertram made an unbelievable lie, Draco made a more believable but still impossible lie, Cassandra either told the truth and was really lucky or didn't quite lie well enough, and Alexa either told the truth and was slightly unlucky or was the best liar of the heirs. Considering how many of the others did or probably did lie, Alexa lying and picking a smaller, reasonable, and more probable number would actually make her way more likely to become queen if she had any idea that the others would lie.
Yup, Alexa and Cassadra are only ones that could be telling truth as both have numbers within the realm of possibility. But there is no sure way that we would know that either of them is lying so we would go with the most likely odds, even though luck could have given Cassandra the edge on hitting the highest score or giving Alexa the odds on hitting a reasonable score. Or the way their luck is seen is that the luck will get the person to win rather than just a highscore. Either way this really could go two ways, just one more likely than another.
Or they could just actually roll their dice. Alexa would have no real reason to spend time making up a reasonable number when she could generate a legitimately reasonable number in a few minutes. With the premise that she would know the others would lie, it would actually be very detrimental to lie.
Alexa would still be the best candidate as she is both least likely to lie since she chose to fake a score below average and second because she either had the arithmetic to figure out the average score and that the answer must be a multiple of 5 OR she actually rolled the dice.
“Listen, strange women lying in ponds distributing swords is no basis for a system of government! Supreme executive power derives from a mandate from the masses, not some farcical aquatic ceremony!” “Well, I suppose we could roll some dice...”
Plot twist: Cassandra was the luckiest human ever who would discover a cure-all drug for human-retated diseases by pure chance had she been made queen, so you just missed out big time.
But the very fact she rolled a 700 and was disqualified because of it means she wasn't the luckiest she was the least lucky so yeah she would of created the cure all drug and then accidentally spilled it all over her notes destroying them.
Plot twist: the king was unluckier than Cassandra was lucky because he made the rule to find the luckiest child, but accidently disqualified his luckiest child instead for his least lucky child.
There still is a less than 10% chance of getting at least that. 440 is the best roll. It's the highest total that has an ever so slightly higher probablity of coming up.
Even if Cassandra did really get 700 and then got disqualified because the advisor felt she was cheating then that makes her unlucky and so she doesn't meet the criteria to be the next ruler.
Not really, the adviser didn’t decide wether to disqualify Cassandra by flipping a coin, he used logic. Anybody else would have been disqualified, not just Cassandra.
Bertram achieving 840 is like that one time as a kid I was playing a card game and announced that I had "5 aces" before promptly being called out for it, LOL
Eliminating Cassandra is still fair according to the rules of the King, since he said you had to be above 90% sure, and Cassandra’s result was extraordinarily unlikely. So even if she was honest and got 700 she still fairly lost because the kings rules were that you had to more than 90% sure
@@rania9534 Let me fill you in on the in-joke here. One of the earlier featured riddles on this channel boiled down to: "There are 100 prisoners on an island and all have green eyes. Any one can ask to leave at any time; if they have green eyes, they will be freed, but if they do not, they will be executed. None of them know their own eye color, none of them can check their eye color or communicate with each other, and none of them are willing to risk leaving unless they know for certain their eyes are green. What one statement can you make to the 100 prisoners that results in their escape *without* giving them any new information?" So the in-joke is to apply the "green eyes are a free ticket to leave" logic to every other riddle in some form or another.
Is Cassandra named this way because nobody believes her score, in reference to Greek mythology? (I have understood that her name must begin by C of course ...)
Instead of *Can you Solve the Riddle,* they should change title to *Why you can't solve the riddle?* P. S. : This was one of the few riddles that I have successfully solved. 😁
@@user-yz8zt1qz7v You didn't really have to use much math tho. I think anybody can come up with the conclusion after eliminating the first 2 that there has to be somebody that miscounted, and so it'd have to be the next highest.
If Cassandra did honestly score 700, she would not just be lucky, she would transcend the metaphysical principle of possibility. She could beat an omniscient, omnipotent being at a game of poker with royal flushes with every hand; she would be born with a genetic mutation that makes her immortal; she could deflect a comet hitting the Earth with a feather; she would not only be a queen but an empress of humanity itself, billions worshipping her as a goddess for all eternity.
@@Hyyacinth Basically at the end of last year Minecraft speed runner Dream was put under investigation for cheating and manually altering variables in a couple of his speed runs (specifically the ones that determine the odds of Piglins giving ender pearls in trade of gold and the chances of a blaze dropping one of its rods, both of which are necessary to beat the game). The speed runner admins said he altered the variables and cheated while Dream said that he just got lucky and both did research into their arguments. In the end they both decided to drop the debate and it’s basically become a meme in itself.
Think the servent dude should be heir. Man was lucky, can do math like a mad man and was honest about who he thinks should be heir. Easiest riddle of my life. Lmao
I struggled deciding between A and C, specifically because being lucky was considered important, but the whole statement of 90% sure kind of dictates that incredibly good scores are no good.
the 90% means that from random chance there's still a 30% chance probability that someone gets disqualified even if everyone plays fair. The best strategy would be to play the number 435 no matter what
@@snehathomas8110 In other words: from a statistical perspective, given an infinite number of games whereupon a contestant follows the rules provided, what would be the threshold at which 90% of scores would be at or below. Put simply, but less accurately: if 10 people play the game, what would be the average of the 1st and 2nd place scores.
@@31.vaishanavikurup20 That's not really how it works, though. It's probably somewhat of a normal distribution, with scores around the middle being relatively common, and scores close to 700 being essentially impossible.
Cassandra should have raised her hand and told the royal advisor that something was wrong with her dice. If they were constantly ending up with the same number, they could be defective or weighed dice. If the test was for luck, honesty, and being good at arithmetic, it could have been a secret test of character to see if she recognized her dice were loaded and if she would admit it. Let the advisor know the dice are acting suspicious and try it again with working dice. That's what a smart and honest ruler would do.
The real winner is the advisor. Only someone with outstanding arithmetic can figure out that 3/4 of them cheated, and that the only one that likely didn’t cheat got the average score. Plus, he was very honest, not lying about the math to pick someone he wanted to win.
Technically speaking Cassandra could've simply failed at getting lucky: If her number had been slightly lower & she was telling the truth(if she was) then she could've became the new ruler. But the dice just had to do that to her.