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View full lesson: http://ed.ted.com/lessons/the-last-banana-a-thought-experiment-in-probability-leonardo-barichello
Imagine a game of dice: if the biggest number rolled is one, two, three, or four, player 1 wins. If the biggest number rolled is five or six, player 2 wins. Who has the best probability of winning the game? Leonardo Barichello explains how probability holds the answer to this seemingly counterintuitive puzzle.
Lesson by Leonardo Barichello, animation by Ace & Son Moving Picture Co, LLC.

Текстовые комментарии (799)
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Gabriel Yuma (5 дней назад)

I figured out easier by checking the cons of Player 1 and pros of Player 2:
* Player 1 wins ONLY if both dices don't roll 5 or 6.
* Player 2 wins if either dice rolls 5 or 6.
So:
* Player 1 needs both dices' results.
* Player 2 doesn't.
So:
* Player 2 has "two tries" to win and Player 1 "one try".

sidemail -Sideways Mailbox- (5 дней назад)

*The Last Banana*
Conning to a theater near you

Alejandro Gorrzegz-Marten (15 дней назад)

Just share the goddamn banana

Patrick McCormick (23 дня назад)

A different Thought Experiment helping you to understand the greatest enigma of all times. Who or what opened the Space-Time Inversion and set off the "Big Bang". Listen to my Podcast: https://youtu.be/2nTtoiNIkDk

General Lucario (23 дня назад)

Why waste time rolling dice if you are so hungry? Just split the banana.

Enchanted Thunder Gamer (24 дня назад)

I thing, Hint: Luck

Cobhlaith Gormley (28 дней назад)

Being player two is pointless because even if you won, cats can't properly eat bananas.🐱🍌

Amay Tripathi (1 месяц назад)

Never seen a cat playing dice on a deserted island!

Muhammad Hassnain (1 месяц назад)

wait cats eat banana > aren't they carnivorous ? never mind that sharing banana is lot fair and better

NASA-chan (1 месяц назад)

Comment Section Filled with Sarcastic Smartass Creatures

Gilang Pangestu (1 месяц назад)

I wont become both
They gonna die soon

Night Thief (2 месяца назад)

The 6 in a dice actually weighs the most so de cat

jaspreet singh (2 месяца назад)

just murder the cat and eat it, let it have the banana as a sign of your magnanimity

Vern Hau Ooi (2 месяца назад)

This is such a great idea in teaching theoretical and experimental probability! Thanks!

Marcus Vinicius Almeida (3 месяца назад)

Eat a cat

Lasni-anime! (3 месяца назад)

I cant understand anything.

Zinyo26 x Snowman (3 месяца назад)

My suggestion is
F*ck I'd never go onto a ship

Lance Stinson (3 месяца назад)

*_C A T_*

Brian Wyters (3 месяца назад)

Just use loaded dice.

aldodzb (3 месяца назад)

Smack with this video every BDO player that says stuff like: "Fs are memes, I once got tet with 10 and failed DUO with 70"

Nathanial Blower (3 месяца назад)

The longer you play, the closer to theoretical probability the actual frequencies are...says who?

djryken (3 месяца назад)

Hope you boys learned some hustling tricks here this is gold!

Mapping Power (3 месяца назад)

If there aren't any bananas left, then cut down the tree and make a boat

Georg Plaz (3 месяца назад)

I am not surprised. Cats don't like bananas. They just want others to be miserable

Shrey Dixit (4 месяца назад)

To all these smartass people saying that they would split the banana- You are not funny
Its just a thought experiment, not a real life scenario

Zbot (7 дней назад)

No banana for you

Chain in End Phase (4 месяца назад)

im almost sure this is wrong

Yashu Dhyani (4 месяца назад)

Why pie is used to measure about circle

Val Kueh (4 месяца назад)

I thought the probability for player 2 winning the banana was 2/3
Reason:
Player two needs a roll of 5 or 6 to win, meaning he has a 1/3 chance to win
But since two dice are rolled, the chance for player 2 to win is 1/3 + 1/3 = 2/3

Mohammed Chafik (4 месяца назад)

https://www.youtube.com/watch?v=bgEvLW15-VY

Ace Sarich (4 месяца назад)

This is beautiful. I especially like the visual showing the probability as a two dimensional square. If we had three dice you could show it as a cube.
So what is the probability of four dice? That would be the probability of a fourth dimensional object, no?

nexi nex (4 месяца назад)

Won't 6 tie? It says higher. 5 and 5 will tie

Get Rekt, M8 (4 месяца назад)

But but......the chance of getting 5 or 6 is 2/6. 2/6 multiply by 2/6 is 4/36. So the chance of player 2 to win is 4/36 or 1/9 which is higher than player 1(16/36). Am i correct? Or is it? I need to know where is my mistake...

Oksana Nakonechna (4 месяца назад)

i would give give the banana to the other person because i I HATE EM

Sigyn (4 месяца назад)

Seems like all these probabilities go out the window when I'm playing DnD

Forte Piano (4 месяца назад)

Either way, we're both gonna use the banana for the same thing, if you know what I mean...

Mr. Noodle (4 месяца назад)

The solution? Make a fishing rod.

Lucky The Wolf Dog (4 месяца назад)

I am so confused. Not by the video, but by the comments. Some say "one person eats the other and banana". Others are saying "the cat doesn't eat bananas". And 50% of the comments are arguing to split the banana. Still, others are stuck how they got the dice in the first place, or why there's only 1 banana. Or why they can't go fishing. (If this comment seemed rude, then no offense to anyone.)

Alekss Zukovskis (4 месяца назад)

roll bananas for the last dice

zeus Rulez (5 месяцев назад)

I wanna be player 3

Zbot (7 дней назад)

3 is a crowd

Leon Nguyen-Dang (5 месяцев назад)

i suggest we throw the bonano

Oria 017 (5 месяцев назад)

I can see this is educational, but I'd just split the banana with the other.... I'm smart

My Name Is Secret (5 месяцев назад)

At first i didnt understand But then an idea popped into my mind So ... think of it this way if 1,2,3,4 pop only one time player 2 Wins So that means 1,2,3,4 neted to pop 2 Times to give player 1 a victory.if 5 or 6 pops one time player 2 wins

Daniel Berglund (5 месяцев назад)

Boohoo! The banana!

Rima Hlehel (5 месяцев назад)

Yuck! I hate bananas! >:(

Nolan Chojnacki (4 месяца назад)

Rima Hlehel so you still wouldnt eat the banana if you were starving to death?

PanDanyull XD (5 месяцев назад)

Why not just split the banana

Leo Warren (5 месяцев назад)

Nothing is truly random

oofbabi1 eighty9 (6 месяцев назад)

🍌

Buttin Muffin (6 месяцев назад)

first

Mark Reynolds (6 месяцев назад)

Can any1 explain th interest paradox ?

arjun verma (6 месяцев назад)

But how could they play game while they are hungry,they have no power so theoretically they both will die.it is great to fight for a minute and there is 75% chances for the winning of cat practically.

And Peggy (6 месяцев назад)

I don’t like bananas, the other guy can have it

Ngọc Lê Viết (6 месяцев назад)

That make no scene. They still die together =((

Jesus Christ on a bike! (6 месяцев назад)

‘1-in-36 chance that ‘1’ will be the highest number’.
But, you’re rolling two dice, so the minimum amount you could get would have to be 2, right?

kill me kylie (6 месяцев назад)

just cut the banana

Snehlata Sharma (7 месяцев назад)

Cat don't eat bananas
,🍌🍌🍌🍌🍌🍌🍌

Total Insanity (7 месяцев назад)

Just eat the darn cat. Asians do it

Nicholas Hartle (7 месяцев назад)

If you make it so player 1 wins if the highest number is 1, 2, 3, or 5 and player to wins if it's 4 or 6, they'll each have a 50% chance of winning.
Also, if you use dice with sides that are divisible by 4, you can give the lower 4th and the upper 4th to one player and the middle half to the other and they'll both have a 50% chance of winning.

Jonathan Weir (7 месяцев назад)

Wouldn’t this work no matter what 2 numbers the second person picked.

Random gooy (7 месяцев назад)

It's the saddest thing I've ever seen its just a ba and a na

Rachelle (7 месяцев назад)

The chance for player 2 to win = the chance one dice is 5 or 6 (1/3) + 1/3 of the remaining 2/3 for the other dice being 5 or 6 = 5/9
That's how I did it, it's just more confusing to explain.

Mr Everywhere (7 месяцев назад)

Why is p2 a furry?

Emily Baltau (7 месяцев назад)

Okay, why don't you just split the banana? Or, maybe, it could just be whoever gets the highest number.

Gin Gin (8 месяцев назад)

I choose the cat just because it's cute

Huonous (8 месяцев назад)

In that situation I would rather have half a banana than 44 % chance of getting nothing.

abdallatef nsour (8 месяцев назад)

I bet that 99% of people who liked this didn't understand anything,and that they only liked the cat.

Crystal Lin (8 месяцев назад)

Oooooorr, they could be kinder to each other and *share* the banana, considering that they'll both be living there for like 4 days, unless they find water. Say, it would be smarter if it was a glass of water

Brendan Sullivan (8 месяцев назад)

The last banana: A thought experiment in probability - Leonardo Barichello

VMOS (8 месяцев назад)

Why? Why would you come up with such weird rules for a dice game? Why not just say whoever gets the highest number wins?

鄭皓平 (8 месяцев назад)

This is way too easy for us Asians

Emil Mark (8 месяцев назад)

The cat and the banana are both food. The girl should eat both for a greater chanse of survival.

computo2000 (8 месяцев назад)

4 minutes is very long for a 4/6 times 4/6 though :/

Colin Carlson (8 месяцев назад)

I would just save the banana for a human and leave the cat. Seriously, why a cat?

heck meck (8 месяцев назад)

Plot twist:
They split the banana in half

EpicGamer425 (8 месяцев назад)

HOW DID THEY HAVE 12 DICE?

jayanti nayak (8 месяцев назад)

Those two r too greedy. They r playing dice🎲 for just a banana🍌 . They can divide it also. Another thing why didn't they get any food except banana rather they got dices🎲.

Tristan Willstout (8 месяцев назад)

Moral of the story: *_Split or Steal_*

Ben From Brum (8 месяцев назад)

so your stranded on a desert island and there are 2 dice there?

Raymond V.M (9 месяцев назад)

Love the turtle

Paladin _ (9 месяцев назад)

If you neglect the point of the video, then it would be wisest to use the banana for bait. Then you could use the bait for more bait, and I think there was a test that showed that saltwater isn't actually that bad for you

Don'tSueTheSpoofers (9 месяцев назад)

Simple choke player 1 and take the banana and eat her meat YAY MORE FOOD

DSK (9 месяцев назад)

good job

77FantasyAngel77 (9 месяцев назад)

Somehow I doubt one banana will change much.

mynameismynameis (9 месяцев назад)

Wait why wouldn't they just see who has the bigger number

Michael Wilson (9 месяцев назад)

Classic example of regression to the mean

Griffin Laing (9 месяцев назад)

I don't understand how the cat stands on to legs,rolls a dice,and wins

Grace Reyes (10 месяцев назад)

What

Gplor (10 месяцев назад)

wait a second
isn't there any chance to have a draw?

Sonia Steadman (10 месяцев назад)

I don't like bananas...

Haani Nehvi (11 месяцев назад)

anyone from maths class here?

Captain America (11 месяцев назад)

Very simple language and easy to understand graphics like all other ted -ed videos. Very nice.

Scott Schneider (11 месяцев назад)

Away to make it fair is to use 1,2,3, and 5 for player 1

Darin Warren (1 год назад)

The democrat player would tax over half the banana away from the successful achiever. And then throw it in the ocean.

Orange Sherbert (1 год назад)

i woud kill the cat and eat it

Orange Sherbert (1 год назад)

hey

Orange Sherbert (1 год назад)

what!

Ceca Siahaan (1 год назад)

4/9....5/9....simplifyyyyy

Angelo U (1 год назад)

I read the comments section for the smartarse users

Brian Wyters (1 год назад)

I bite into my victory banana...Nooo...It was unripe!

Common Cool Channel (1 год назад)

Steal a banana from a parallel universe!

Pheobe Owusu (1 год назад)

How have I never seen this one! Love it!

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