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!

Idk man

4:15 who got the Hamilton reference? No? Only me ok :/

but this assumes that your opponents know what wand you're using.

Solution is green apple

Probably the red apple 🍎 bowl

I got it right

If you cast out of turn, you stay alive and forfeit.

You could put yourself on the mountain top

Become a cat boom 9 lives solved this puzzle to the extreme and gained 8 extra lives

We all know the answer is to bring the

Wand of Fireballsand turn them both into piles of ash. Wizards are notoriously bad at evading area damage.Bonus riddle is easy

Bring them to a lab to check for toxic material

My Logic:

1. Take the Noether 9000

2. Cast on enchantress

3. Cast again, illegally, on the other wizard

4. Technically, you forfeited, so you lose. But no one else can win…

5. To prevent a draw, you and the wizard who got out second, will fight

6. As long as you go first in the rematch, you win!

For the apple riddle you could eat half of four red apples and you would have technically ate 2 apples and if you ate the two poison ones you would have ate equivalent to 1 poison apple so you would still live

How didn't I notice the Hamilton reference until now

With my bad luck I would loose no matter what haha

There one wand can beat them all the uno reverse card

On the bonus question, I would YEET those apple out the window.

Also I’m kinda allergic to apples…

Hamilton…really

it took me since this riddle came out to figure out the answer.

Being a cat is the best optionSimple, a duel with 3 people is simply a truel

4:14 OH MY GOD HES ONE OF US

Tbh I chose vine staff because I sounded cool XD

I WON!!!!

Or you could just not do the tournament and not die or be a cat

4:15 im not trowing away my shot!

ḭ̃ w̰̃õ̰ñ̰'t̰̃ t̰̃õ̰ b̰̃ḛ̃ ã̰ c̰̃ã̰t̰̃ 🐈

What if you just used the noeter thing on yourself and escape

I AM NOT THROWING AWAY MY SHOT

IM JUST LIKE ME COUNTRY IM YOUNG SCRAPPY AN-

you just have to choose the green apples because if u eat 1 poison AP then there are about 25% that u will eat the other poison AP

if u choose the red bowl then if u eat one poison AP then there are about 50% that u will eat one of the other two poison AP

Hamilton jokeIM NOT THROWING AWAY MY SHOT!

Yay I got it

Why can’t you take the 9000 wand and cast the spell on your self and by then the other guys will be dead

Newt-niz and leib-Ton switched is newton and Leibniz

Omg Harry Potter and the goblet of fire all over again

Who else got the Hamilton reference

Hamilton reference uwu

basically the triforce.

This make no sense

How long was 1 round

Good riddle, I kinda thought everyone was turned into cats after first round regardless how many survived so i thought at first to take the 100% wand and cast it on himself to transport to safety or something like that the least probably kill wouldve been my second option but only because i thought missing it was 40 % not purposefully 100% .

The star won 9000

Wait so if you can miss can I just like… dodge someone else's shot, in that case I take the 100% wand and dodge the only shot that comes at me from the 70% guy. or is there an unwritten rule about shots that are aimed at someone not being able to be dodged.

3 it allways work 100%

aw kittys

get the stachu one

hamilotin quote!

But it said that each wizard can’t go out of turn so would by getting the most powerful wand and getting rid of the second wizard be the most effective considering the third wizard would technically be going second?

Did they make a Hamilton reference?

They didI just dodge the shot

Sorcerers and wizards are different…

hamilton fans are shaking

60%

i win

OP "rules are strict"

also OP "here are the rules"

also also OP "oh and miss on purpose to win"

The idea of this sounds a bit like the tri-wizard tournament from Harry potter

How do you get 0% with missed Gaussian?

But because the percentage it still need some luck for you to hit your enemy

Noether and teleport yourself away

it is more like harry potter and the goblet of fire

when you get it right, but not really but close enough

4:16 im wheezing

Pffffffft

A: Missing on purpose was never given as an option. Can you block a spell too? Dodge? Shoot the ref? If the rules don't matter how can this be solved?

B: The solution to the riddle is just a probability calculation which isn't a riddle, it's a math problem.

You can choose any wand and still win

too many implied parameters

Hamilton: I am not throwing away my shot

Ted-Ed Riddles: THROW AWAY YOUR SHOT BOI

I love how he just slid in Hamilton

Just fking call harry potter

Ez as fk

But I like cats

Me personally, I would chose the Gaussian because I can plant trees.

60% of the time, it workes everytime

I actually can’t believe that I figured it out on my own

No no I cant

That Hamilton Easter egg tho

All you people arguing that you shouldn't be able to miss on purpose… Uhm, the Bannekar wins either way guys….

The Hamilton ref tho

Hey everyone! Come to the deadly duel today! Tickets 60% off! Come on in!

The real crime about this riddle is being given the set of rules and completely ignoring one of them. There is a rule that says, "after the FIRST round, they will ALL be turned into cats and they will ALL lose." There is a restriction on the number of turns, then, where the number of turns is limited to only 1. The solution of the riddle involves more than one turn, that is to say, it requires you to miss, have the other wizards take their turn at casting a spell, and then you go AGAIN. The solution is breaking one of the riddles' rules initially put forth. I would imagine that the moment the wizard decides to miss, his turn is over until the NEXT round. However, that is not the case as we can see here. He misses, the others take their turn, and he goes again all in the SAME turn. So when exactly does the turn end? In any case, either the wizard goes TWICE in the same turn, or he goes again on a different turn, and BOTH of these scenarios are misleading. One of the scenarios breaks the rules outright, while the other does not make it clear when a turn begins and ends. This is a bad riddle, terribly written.

Love ur ridLz

My answer was correct, but I did it for another reason. One of the rules are if you cast out of order, you forfeit, so if you choose the first wand, the 2nd wizard would be unable to cast a spell since he’s wrapped up, leaving the 3rd sorceress to have to cast and be forfeited from the tournament

This makes no sense. It’s like if I said,

“A car is going 80 miles per hour and the brakes are broken. You’re also locked in the car and have no tools in the car. How do you stop it?”

And then the answer was,

”tHe cAr wAs aLmOsT aT eMpTy aNd rAn oUt oF gAs!!1!11”0:00 to 0:17

Sounds a lot like the 4th book of Harry Potter, eh…

I wouldn't say that this is a bad riddle, but they stretched the unintuitivity a bit much in their "correct answer." I still find it interesting that the weakest wand is a good choice at all.

If you choose the red bowl and eat two apples, meaning there are 20 different combinations of apples you could eat (5×4, total number of apples x apples you can choose with your current apple). Since there are 2 safe apples, and 3 unsafe apples, there is a 14/20 chance you will live, or 70% chance.

I don’t have time to calculate the green bowl 🤪

Green apple bowl is safer bet.

There is 5 apples you have a 60% chance of getting a safe apple and a 40% chance of getting a poisonous apple.

If your first apple is safe then your second Apple ( only 4 apples left) you have a 50% chance of getting a second safe apple or 50% for poisonous.

-if your second apple is poisonous then on your 3rd Apple you have a 66.7% of a safe apple, but if your second apple is safe then it doesn’t matter what apple you eat because 1 Apple isn’t enough to kill you.

If your first apple is poisonous then on your second apple you have a 75% of a safe apple and then on your third a 66.7% of a safe apple.

Red bowl has the highest probability of you dying

Eat an apple a day they said…

Green bowl:60% safe 40% poisonous3/5

Red bowl:40%safe 60%poisonous2/5

Eat 3 for Green Bowl2/5 R

Eat 2 of Red Bowl3/5 R

(Gb)3/5 x 2/5=(Rb)2/5 x 3/5

So theyre both the same

1:06 Rule 2 reminds me of adventure time…

Couldn't you just hit yourself with the 3rd wand?

I AM NOT THROWING AWAY MY SHOT

Being told that you can purposely wiff makes this thing so easy

for the wizard duel 100% and zap second then second is still in the competition and he can't go so it doesn't end

I just watched it for the hamilton joke owo

But I’m NOT THROWING AWAY MY SHOT

Anybody looking for comments with harry potter references?

Yay I got it. 🙂

Definitely green has better odds

If the rules can be bent so easily like that, then that means I can use the secret Joestar technique

TED-Ed: Can you solve…..

Me: no.

noHogwarts, Durmstrang and Beauxbâtons.

Satan symbol on the rules, ok then