You’ve been chosen as a champion

to represent your wizarding house in a deadly duel against

two rival magic schools. Your opponents are fearsome. From the Newt-niz school, a powerful sorcerer wields a wand

that can turn people into fish, but his spell only works 70% of the time. And from the Leib-ton school, an even more powerful enchantress wields

a wand that turns people to statues, and it works 90% of the time. Lots are drawn, and you’re chosen

to cast the first spell in the duel. The Newt-niz magician will go second, and the Leib-ton enchantress third, after which you’ll repeat casting in

that order until only one of you is left. The rules of magic duels are strict, and anyone who casts out of

order immediately forfeits the duel. Also, to prevent draws, the rules stipulate that

if everyone’s still standing at the end of the first round, you’ll all be turned into cats. Now, you must choose a wand. Your wizarding house presents you

with three options: the Bannekar, which binds

one target with vines and casts effectively 60% of the time, the Gaussian,

which turns one target into a tree and works 80% of the time, and the incredibly rare Noether 9000, which banishes one target

to a distant mountaintop and casts perfectly 100% of the time. Your opponents are masters of strategy,

as well as sorcery, and you know they’ll make the choices that

maximize their own chances of success. Which wand should you choose and what strategy should you employ to have the greatest chance

of winning the duel? Pause the video now if you want

to figure it out for yourself! Answer in: 3 Answer in: 2 Answer in: 1 You reach for the Noether 9000 first. After all, it makes sense to enter

the duel with the most powerful wand. But before you pick it up, you consider

what would happen. As the most dangerous wizard, you’d also be the target

of the other two magicians, and you’d need to take

care of the most dangerous of them first. But afterward, there’s a 70% chance you’d

be struck down by the remaining wizard. That’s trouble. Maybe it’s better to take the Gaussian. It works 80% of the time, which means you wouldn’t be a target

until the enchantress was incapacitated. But if you succeeded in transforming her, you’d probably be turned

into a fish immediately after. If you transformed the sorcerer, the enchantress would almost

certainly turn you to stone. It would really be better if you missed. And that’s when you have an idea: what if you took the Gaussian,

then missed on purpose? Then, you would wait for the sorcerer

to attack the enchantress, and you’d have an 80% chance

of winning against the sorcerer. It’s a good idea, but there’s a problem; the sorcerer could also pass his turn and the enchantress, knowing that

she couldn’t pass without becoming a cat, would cast her spell on one of you. And since you’re the most dangerous

between you and the sorcerer, you’d be the target. And that’s when you see

what you really need to do: take the weakest wand, the Bannekar,

and miss on purpose. Now the sorcerer knows that

he’ll be targeted by the enchantress and he’ll have to try to turn her into

a fish to avoid being turned into stone. Seventy percent of the time he’d succeed and you’d have a 60% chance

of winning the duel at the beginning of the next round. If he fails, chances are he’ll be

turned to stone and you’d still have a 60% chance of

winning the duel against the enchantress. There’s a slim 3% chance

you’ll all be turned into cats, but when everything’s accounted for, you have better than even odds

of winning with this strategy. And that’s the best you can do. Here’s what the probability of winning

for the different strategies looks like. Who would’ve thought

that the best way to take your shot would be to throw away your shot?

Sign up to be emailed the solution to the bonus riddle: https://brilliant.org/tededpoisonapples/! Also, the first 833 of you who sign up for a PREMIUM subscription will get 20% off the annual fee. Riddle on, riddlers!

I would just take the 100% wand and shoot everyone in the room and forfeit the duel and not take any chance of turning into anything

Being a cat doesnt sound that bad

Eat one green apple, then halves of the remaining four. You are safe.

Im a nerd i loves wizards

Guys, if they straight up told you that you could miss on purpose, the answer would've been obvious. Like any clever riddle, the answer was something so simple, it pissed you off you didn't think about it first. Y'all just salty.

UNO REVERSE CARD ! WHERE ARE YOU ?

4:16

I AM ALEXANDER HAMILTON AND I AM NOT THROWIN AWAY MY SHOT!

i want to be a cat

"You'll all be turned into cats" is a very questionable choice for a punishment

Okay the riddles are a cute idea but I've really gotten tired of having extra details explained in the answer. It was a good run, Ted-Ed.

Bannekar i didn't cheat

the 100% wand

make more riddles more the cat riddle the cursed riddle and the doom riddle

You miss 100% of the spells you dont cast. – Wayne Gretsky

– Michael Scott

Yes yes yes i paused the video for a long tume so we or we or you hace to miss the shot then the red one shoot yellow because you have the weakess wand then shoot red

Reminds me of the TriWizard Tournament, 3 wizarding schools but then 4:17

I'm not throwing away my shot! No not throwing away my shotOh my gosh!!!

The hamilton star at the end🤦🏼♂️🤦🏼♂️😆😆😱😱🤣🤣🤣

And you thought 5 second riddles were hard

You maybe should have mentioned intentionally missing was allowed, I know it wasn’t explicitly stated that you couldn’t miss on purpose, but that rule the riddle solver needs to come with up on their own, which is typically a sign of a weaker riddle. When you open the door to solutions not stated clearly in the set up as being something you can, it means there is seemingly no limit to what somebody could creatively come up with as a solution. Who says I can’t cheat to win the duel? Maybe a friend of mine secretly casts an anti- magic charm on my opponents from the crowd reducing their chances of a successful hit, not one of your better riddles.

This video: wizarding duel

Me drinking butterbeer:

Are you challenging me to go to the dualing club?Neuter 9000 sir.

That Hamilton reference was so unexpected and honestly appreciated

If you shoot twice that means you are already in the 2nd round and you should have been turned into cats by then

The real answer is take the 100% wand hit 90% when 60% casts move so they don’t hit you then cast at 60% and win

100% chance

Why can’t they all miss and turn into cats? That sounds awesome

Bonus Answer: Eat the red apples. You have a 33% chance of dying.

I understand why the missing on purpose was left out, because it would've made the answer a bit more obvious. The thing is that it does make it a bad riddle. The fact that you can come up with missing on purpose also leaves room for other answers, such as wizarding a knife and just stab them to death. That's ofcourse an exaggeration, but I think you get the point.

But theres still 40% chance ill lose

Well that was a load of bollocks!

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One of the best logical riddles

The green bowl since its a 100% that you wont die IF you slice four apples into halves and eat the remaining 1

If the whole apple that is not poison then you get 2 halves of poisoned apples (1 poisonous apple)

If you ate the poisoned apple then you get a half of a poisonous apple (1.5 poisonous apple)

No one said that slicing is illegal

Hamilton :)))

4:16 HAMILTON

You said after the 1st round everyone would turn it to a cat and lose, so your answer is bunk.

Show the 60% one, miss, then sit down.

Have you guys ever heard of the Sphinx riddles ?? THOSE are riddles. These are called word problems. Yall really think yall clever lol every riddle yall make calls for a calculator…dats a waste of everybody time.

Tbh I would want to be a cat

two seconds later I get turned into a statueUmm… taking the 100% chance one and targeting both wizards at the same time is what I would do. Wasn't stated in the rules that I couldn't. 😀

1:07 was that an adventure time reference?

Ok, I see that Hamilton reference you out in there TED-ed! I am not throwing away my shot! (My Shot from the musical Hamilton)

You could also banish the person next so that if the enchantress went she would skip a turn and be disqualified

Riddle: is a duel

Also riddle: has three participants

Even if they turn into cats it will be better than a fish or stone

The night before the duel, meet with the other two separately. Ask each of them whether they want to become murderer, or if they want to die for the amusement of the crowds. If either of them wish to avoid it, tell them that there is a way, but they must bring supplies for mountain survival. On the day of the duel, pick the Noether 9000 and use it on anyone who wanted to avoid the duel, and then yourself. Climb down from the mountain and start an uprising against the people who force children into deadly duels.

I wouldn't mind being turned into a cat…

Noether 9000

Umm triwisard tournament vibes?

Anyone? Ok I go

Was that a Hamilton reference?

Green apple.

If you name apples A B C D E and you say that B and D are poisoned you could die only eating ABD, BCD, BDE. You have 10 combination in total (ABC, ABD, ABE, ACD, ACE, ADE, BCD, BDE, BCE, CDE) . So 3/10 (30%)

In the red one you have A B E poisoned. You could die eating AE, BE, AB. You have 9 combination in total (AB, AC, AD, AE, BC, BD, BE, CD, CE). So 3/9 (33,3%)

If you took the Gaussian and missed on purpose, the sorceror would probably kill the enchantress and you'd probably kill him. However you said there would be a 0% chance of winning with this strategy

THE HAMILTON JOKE

Moreee

chances of not dying are 2/5 for 1st bowl while 3/10 for 2nd therefore go for 2nd

I liked this video for the Hamilton refrence

omg i won ! just cuz but cmon this riddles are tricky each time at the end have made up rules or not mention stuff you can do , ok for the apple I will turn em into apple juice and then make the other dude drink it all 😂

What if I want to be a cat

The real problem here is that if they are all masters of strategy the enchantress is going to cheat since she knows she dies first.

noHas no one seen war games "The only winning move is not to play"

4:15 I AM NOT THROWING AWAY MY SHOT I AM NOT THROWING AWAY MY SHOT IM JUST LIKE MY COUNTRY IM YOUNG SCRAPPY AND HUNGRY AND IM NOT THROWING AWAY MY SHOT

Lmfao in the answer: “btw you can miss on purpose if you’d like”

1:06

I mean, it’s not THAT bad, is it? No taxes.

*Triwizard Tornument has left the chat

3:50 they're all still standing, therefore they all become cats… THE END

Before you get to the battle bring warm clothes and blankets and use the noether 9000 on yourself and you would have one of the best wands in the world and not taking chanses

newton and leibniz

Well if we can bend the rules like this, then you can just bundle up, Get the Noether 9000, use it on yourself, grab your Elytra, use your Fire Flower to propel yourself away from the mountain and back to the stadium, and then you see the outcome! Then use the Master Sword to strike down the other opponents, and you win!

FORGET THAT JUST SUMMON FRICKING HARRY POTTER

Plot twist: The labels on the wands were incorrect and you lose

Easier solution: take the banishing one and use it on yourself. You will then be the last one standing (on a mountain)

Is this both Harry Potter and Hamilton at the same time

This is more easy than the other riddles you uploaded

Hey Ted sauce! Ted Ed here!

Its the Triwizard tournament all over again

There are worse things than being turned into a cat…

I am not throwing away my shot! Or am I?

Winning Schminning. What option is most likely to get me turned into a cat????

Green apples : 70 % survival

Red apples : 50 % survival

So take the green apples

LOVE THE HAMILTON REFERENCE

4:05

1.6% chance to win with Noether 9000 (100% success chance) when you pass the first turn?

Someone please explain that to me.

How do you calculate the chance of each outcome

Red apple

I grab the banikar, then stab the others with it, who said the stick with throns on it was a wand?

Leibton and Newtniz…Newton and Lebiniz. Of course! You did it again, TED-Ed, you sneaks

At 4:15 did u guys make a Hamilton reference????

4:13 Loving that Hamilton reference there

Haven't read the comments but I believe after about a minute of thinking and looking over the wands I banish myself to the mountain

Thank you for the video! All of you friends are super awesome!

So the tri wizard tournament?

In the apple riddle, in both choices you have a 3/10 chance to die so it doesn't matter.

4:15 i'AM NOT THROWIN' AWAY MY SHOT-

This is the only riddle I’ve gotten right

Red apples

4:14

Me: ahhh….aha….ahahaH……AHhahahaHAHAHAHHAHAH HHAHAHAHAHAHHAHAHHAHAH HAHAHAHAHAHHA

I like Hamilton

Sure…sure…or I could just take the most powerful wand and teleport myself far away from this duel to a remote corner of the planet!

Omg I WAS RIGHT FOR THE FIRST round but. I didnt know you can miss on purpose…

newt-niz and leib-ton, i see what you did there

your a wizard, Harry.I think I have the answer to the bonus riddle.

Eat from the green apple bowl. Here's my explanation:

In the green apple bowl, there's a 60% chance of eating a safe apple. But, if you eat a safe apple, you still have a 50% chance of eating one poisonous apple. Then you have a 33% chance of eating the other bad apple and dying. There's also a 40% chance of you eating one poisonous apple first, and then there's a 25% chance of you dying, and a 75% chance of you eating one good apple, and after, a 33% chance of you dying.

In the red apple bowl, you have 40% chance of eating one safe apple, which will keep you alive no matter what. But there's a 60% chance of eating a poisonous one. Then there is a 50% chance you will either die or live.

Let's say your opponent eats a poisonous apple from the green, and you eat a poisonous one from the red. You have one 50% chance of surviving. Your opponent has a 75% to eat a good second apple, and then a 66% chance to eat another good apple. That's a 70% chance of survival. The green bowl is better.