# Can you solve the wizard standoff riddle? – Dan Finkel

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!

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.

I would just yeet myself to the top of the mountain.

That Hamilton reference 😂

Red apple

You could just hit your self with the one hundred wand because if you can miss you can hit your self so you take your self to a far off place and if they both miss your the only one left because they get turned into cats anyway

Why did you not count the % of casting the spell

Really, Ted-Ed? Cross matching Newton and Leibniz? You thought you could pull that sneakie on us?

Why would i need to learn that from a website? Its simple mathematics

Why is this Harry Potter?

i would use the noether 9000 to 2nd wizard, and by the rule, the 3rd wizard cannot cast out of order while the 2nd wizard still alive or she forfeits the duel, hence i am the winner

Who else just wants to become a cat?

Like if you do

Video: You've been chosen as a champion-

Me: No.

Seems kind of important that you can MISS ON PURPOSE.

For the apple one, cut all the apples in half and eat half of each apple. That way you won’t be able to eat 2 fully poisoned apples. At most you’ll eat 1.5 if you’re unlucky. That’s the best I got for that one anyways….

What? Are you saying cats can’t magic? You dare challenge me mortal?

Ted-Ed: “And you know they’ll make the whatever for their own chance if success”

Well OBVIOUSLY they’re not gonna purposely try to make themselves FAIL

Rule: dont join any duels or any contest.. I'd only sleep and watch youtube.. Nyttt

Take the Noether, walk away from the duel till one of the others is taken out + you have your turn, then take the other one out. They didn’t say you couldn’t away, just like they didn’t say you could miss your shot.

Shazam(misses)Sorry

ḭ̃ w̰̃õ̰ñ̰'t̰̃ t̰̃õ̰ b̰̃ḛ̃ ã̰ c̰̃ã̰t̰̃ 🐾🐾

0:37

For the apples it doesn't matter it's always 3/10 chance of death

Raven claw huddle puff and griffin does are fighting :O

I reader where the schools came from but it just reminded me of them

What if u cast The N9000 to urself then youll be safe?

Harry Potter?

I chose the right wond but for the wrong reason

Doesnt matter

Duel definition: a contest with deadly weapons arranged between TWO PEOPLE in order to settle a point of honor.

WHY IS THERE 3 PEOPLE?!?

Allow yourself to be turned into a statue, you would be the last man

standingYOU NEVER SAID WE COULD PASS OUR TURNS

Well you never said they knew what wand you chose or the percentage of success so why not choose 100% then say you have 1% because we love not hinting at information or specifying anything

They want to emphasize how thinking out of the box can help!

However, why take the duel in the first place?

Teleport yourself far away & enjoy a 100% survival!

I don't fully agree with the miss on purpose solution, because if both 1 & 2 target 3, the odds of eliminating her are increased.

If you conclude there's a 65% chance she'll be eliminated by her turn, you'll still have a 60% chance of eliminating 2nd Wiz & you're still getting the first shot at this.

Missing on purpose just pits them against each other for survival.

Meanwhile there's an increased chance you'll all miss & lose!

Also, How can u miss on purpose with a spell not 100% effective?

You don't cast it at target?

Shouldn't it mean disqualification?

If you can cast it somewhere else, why not use the vines spell on yourself (you're not a statue or fish or cat that way & they can be cut + you're still there.

The mountains is bad but still not a cat or fish or statue!

Meh id take the last wand and self cast

Stall for your turn, so nobody wins.

hamilton reference. my only weakness

The way to win is you cast out of turn, fourfeiting the duel so you can stay alive

Loved the Hamilton reference

Got the correct answer 😀

I thought I could just do nothing during the first round.

And I was wondering if the other wizards would know about my wand.

But since I know their chances it only makes sense if they would know too.

But thanks for this awesome riddle 😉

Banish your self to the mountain so that you wouldn't be targeted by any of them?

Answer grab two wands and kill em both

simlipe the rules ay nothing about defencive spells and the like so take the defence one against the lady and bring a enchanted gun then shoot the guy

Application of Probability and Odds .

1v1v1 hero mains be like:

What if when I casted on the enchantress and failed?

The green bowl is better, because every time you choose the green bowl you got a 10% chance that you will die. But the red bowl has 30% chance you will die. So green in the way to go.

Sorry but I haven’t gotten my hogwarts letter

the only genius thing about this is that hamilton reference at the end.

green one basket has only 52.3% chance only where as red with 70%

Take the 100% chance wand. Cast it on yourself. You’ll still be alive, just on a mountain

This is one of my fav YouTube channels!! Btw I Have an AMAZING riddle if you wanna hear it.

Nonsense. Why would I count as a

MOREdangerous opponent once my turn has ended? I can't shoot anymore. It's a 50:50 chance I get targeted at the end round whichever wand I choose. Nonsense.Better solution: Open the hidden compartment in the briefcase and take out the Wand of Chaining, which gives you a 5% chance of successfully casting a spell, and then has a 1% chance to arc chain that spell onto an additional target. Since you don't have to actually target both enemies, the wand is legal. You then intentionally miss with the wand. Since you have a 5% chance of succeeding, you therefore have a 95% chance of failing your spell and actually hitting a target. It will then chain at a 99% chance, giving you an overall 94% chance of eliminating both targets on the first turn. Conglaturation! You win!

I said the baniker and attack stone lady before I knew you could pass, then I said get the baniker and pass when they finally told me the rules. Im counting this as a solve.

Being turned into a cat doesn’t sound all that bad… you get free food and you can sleep all day

Cheat and don't forfeit

Chose all the wands and duct tape them together

How can you possibly have a 1.6% chance to win with using the Noether 9000 and miss on purpose?

You will be targeted by everyone and not be alive, or be turned into a cat if the others also miss on purpose.

I would’ve chosen the Banekkar anyway cuz it’s cool

Bad Riddle…

4:17 is a hamilton reference

Harry Potter:

Misses VoldemortVoldemort: “Hehe, I’m in danger”

Since hydro pump always misses I’m going for the 90 then the 70

That wasn't well explained. I didn't understand that it was possible to attack the enchantress first

This is like playing a board game and jumping off the board 😂. Yes, the rules don't say anything about that but games just don't work like that

I would take the red apples 🍎 because the chance of getting two of them that are poisonous are very small so that’s what I would do

I had a simmilar idea I though to use this first wand on my self it probably dont work and still if it would work I can cancell that spell because I cast the spell so this 2nd guy is going to cast spell on the 3rd guy if it doesnt work he will be turned into statue and it will be my turn I free my self and cast spell on the 3rd guy if it worked great if it dont well I think I will be great statue if the 2nd guy turned 3rd guy to fish the same you escape end cast again spell I think it would better worked with 2nd wand

HAMILTONHarry Potter?

I would love to see RM try to solve this. Even though it'll take him 3 seconds.

I want to be a cat

Oh wow a dual with 3 people -_-