The coin flip conundrum - Po-Shen Loh

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Information The coin flip conundrum - Po-Shen Loh

Title	:	The coin flip conundrum - Po-Shen Loh
Lasting	:	4.23
Date of publication	:
Views	:	640 rb

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Comment from : TED-Ed

Why didn't you state at the very beginning that each person had one coin that they can flip to get their own desired pattern?brbrIt would have made it much more intuitive
Comment from : Jc Warain

You have forgotten on thing, a coin has not two surfaces, it has three, the edge of the coin being the third! What are the odds of the coin landing on edge?
Comment from : Robert Hutchison

boru kiyannaoa epa katatha boru kranna thaman thaman raventaanva modaya
Comment from : Dispute Plays

If you flip a coin an infinite number of times, does that mean that at some point in the process, you will have an infinite number of heads in a row as well as an infinite number of tails in a row?
Comment from : Frisbee Dan

To summarize: A failed second flip on the heads-tails game is a successful first flip, while a failed second flip on the heads-heads game is also a failed first flip
Comment from : 8Stormy5

Let's saybrWe have a betbrI have chance to flip coin #3 times to bet head or tail ( even if it has only 2 sides)brHow many percent of winning chance I have to bet head or tail?
Comment from : Baker World

where was this when i was having trouble with statistics and probability in school? 😤
Comment from : idk

At 0:06 It's mumbo!!!
Comment from : Sam Berry

Just like everything on this planet, it can be fixed Depending on how the coin is positioned when tossing, and as a kid I knew this So I exploited it to win all the time
Comment from : Matt Man Productions

Hey whatever you explained was the expected time But it doesn't mean the experiment with greater expected time would occur later in a sequence of random experiments The probability of either of the sequence occuring first here are equally likely in this case Please have a look
Comment from : Shubham Kumar

2022: 325
Comment from : Alexandra Delliou

Most people say that if you flip a coin you have a 50 chance of landing of heads, and a 50 chance of landing on tails But some peoples say you have a 51:49 chance depending on the side the was upright Well both of these theory’s are wrong When flip a coin you have to account for every possible situation that could happen There are actually 3 possible outcomes of flipping a coin The first outcome is landing on heads The second out come is landing of tails The third outcome of flipping a coin is actually landing on the side, with both head and tails facing sideways Now as we know this is more rare for this to occur But how rare? And how does this change the probability of a coin landing on head vs tails
Comment from : Jerry the duck

Santos Dumont 🇧🇷🇧🇷❤️🇧🇷❤️
Comment from : Gabriel Albuquerque

Think of it this way:brbrBoth players get head first brbrBut player one, who must get HT to win, gets H for his second toss So, he tries again but he starts from head he got from losing last time So, now he just need one tailbrbrPlayer 2, on the other hand, who must get HH to win, gets a tail So, he tries again but now he needs to get two consecutive HH to win since he starts with tail from losing last timebrbrPlayer one is more likely to win because most of time he just needs to get a tail after losing while player two needs to get two consecutive heads after losingbrbrPlayer one is only more likely to win if the tossing of the coin is continuous If both players flip coins in intervals of two and discard results of previous intervals, both players have an equal chance of winning Because this is essentially what's happening: player one gets an advantage of his previous coin toss while player two’s previous coin toss doesn't help him
Comment from : Samarth Patel

Welp, the next generation is gonna enjoy more time for Maths
Comment from : CodexTestsYT

I understood none of this
Comment from : 80HDboi

Soo Can someone explain to me how I lost 7 flips in a row from just picking heads? And what was my chances of that happening ?
Comment from : im Duck

Wow Words come through my ears and I dont get it
Comment from : Trung Hung Pham

In fact, we don´t have the certain possibility of getting a exactly 50 for each side of the coin :)
Comment from : Oscar Herberg Bustos

All to say, once head is achieved there is a 50/50 chance
Comment from : Lesser Status

I was thinking of this one time in class and realized you could predict what’s more likely in coinflip
Comment from : 1XC

Nice math you got there but it would be a shame if heads-heads still won
Comment from : random goose

所以是head-tail 的几率比较大吗
Comment from : Samantha SY

Menos mal no esta en ruso
Comment from : El poeta Sigua

The calculation would make much sense with one coin if you were to find the number of occurrences of HH and HT That'd in ratio 4:6 or 2:3 if simplified
Comment from : StV3qbhXjnMmQbW

Hmm, I knew that the probabilities were equal, comments made it clear
Comment from : StV3qbhXjnMmQbW

This is the first ted-ed puzzle that I figured out!
Comment from : WriteThatDown

"it's an ingenious solution to a problem that never should have existed in the first place" - James May
Comment from : ibrahim binKasim

Well nobody said if u get one tail in hh combo you have to strt again
Comment from : FUN SPOT

The part of Orville was played by Markiplier
Comment from : DoctorX17

Comment from : My Mind

Seen this video 5 times, still can't understand😂😂😂
Comment from : Gamer Ayush

Flip that coin!
Comment from : June28July

This was so overcomplicated and poorly explained, why even use algebra? Also didn't clarify there are two coins
Comment from : Tyler Reis

0:17 Yo forget the probability, where can I get some of those AU Barber halves!!!!!
Comment from : Rajan Rao

this video was very helpful to me and my schoolwork statusI watched this on my macbook and its the only video that hasn't been excruciatingly glitchy
Comment from : Ventii Swirl backup :/

Knew it
Comment from : Kool Khicken

TauiLzaaaaaaaaaaaaaaaa
Comment from : Sophie Pan

brainexe has shutdown for a kid like me
Comment from : Tuấn Nguyễn Anh

Wilbur's face gives it away when he blinks (0:32)
Comment from : Рус Субтитры

You really should have clarified that the brothers had separate coins to flip independently from eachother with unambiguous language
Comment from : Tylerian

Clarifications to everyone who suggests that both players should have an equal chance of being the first to flip a sequence of HH compared to HTbrbrEach player is flipping their own coin and the winner is the person who achieves their goal (HH or HT) in the fewest number of flips of their bown/b coinbrThe point is that if your goal is to achieve a sequence of HH with your own coin for example, you DO NOT automatically lose if you happen to flip a sequence of HT (Opponent's goal) The same rule applies that you don't win automatically if your opponent flips a sequence of HH with bhis/b own coinsbrThe common misconception (Probably because the rules weren't explained clearly enough in the video) is that the game is only played with 1 coin which applies to both players In that case both players are equally likely to win as after a Heads is flipped, there is a 50 of the next coin being flipped as Heads or Tails, and thus achieving the respective player's goal
Comment from : A A

what if it lands on side
Comment from : batir-sratir

The people's comments are the ones confusing
Comment from : Je Ra Song

Just flip the damn coin
Comment from : BSBA-1H Payawal, Aldy Nheil M

What about 3 flips
Comment from : M

TldrbrWhen trying for HT, if you fail on the second throw and get HH, you're already halfway to completing the next HTbrIf you're trying for HH and get HT, you haven't gotten started on the next HH at all
Comment from : Isabel Huang

can i do math ia on this?
Comment from : Arthur

I ❤️ deep stuff
Comment from : Kristin Whitaker

Who wants me to explain
Comment from : Thales pro999

I'll let siri to do the work!😏
Comment from : Quibella

if you found this explanation interesting, you should look up the KMP substring search computer science algorithm It uses the same 'mechanism'
Comment from : neslef3

Why is this so hard for people to understand? The probability that you will get 2 of the same outcomes in the row is smaller than 2 different outcomes The probability gets smaller the more times in a row you are trying to get the same outcome It's very simple The video made the mistake of using a coin flip as an example, as you conflate the 50/50 with the two flips A better example would be trying to flip heads 5 times in a row or something like that
Comment from : Balendula

WhAt
Comment from : Arthur Morgan

If they would be using one coin, their chances would be equal but they are doing it separately He should have said that in the beginning It took me 10 min to figure out
Comment from : Mete Koc

Deterministic Pushdown Automata? Is that you?!
Comment from : Joel Joseph Reji

Lol this is soo confusing
Comment from : Midori Sakurai

This video is completely wrong So disappointed
Comment from : Sigmund

What did the quote in the beginning of the video mean??
Comment from : Aaryan Porwal

this is basic automata theory why people in the comment can't understand this is beyond me
Comment from : amitava mozumder

My intuition was: "heads heads is more rare!"
Comment from : ote

I'd just flip my coin real fast
Comment from : Siena B

Ehh? Until a heads is flipped, neither of them can win When the heads is flipped, they each have a 50 percent chance of winning on the next flip
Comment from : Will Munoz

If they flipped the same coin it's still a 50/50 chance, since the game would be over the first flip after a heads was seen
Comment from : Cosmic

The way this problem is worded is misleading They should emphasize that the condition has changed from flipping one coin to each of the two brothers flipping a coin of their own(I feel there was an intent to mislead by de-emphasize this change) And in this case, it should also be made clear that the brother who flips his winning pattern in a fewer number of flips wins Not that most of us would be confused into thinking that the faster "flipper" would have a better chance to win; rather, it would have clarified the condition for most of us that they are flipping separately and that when one brother flips the winning pattern of the other would not conclude the game I feel this is as much a logic puzzle in rhetoric as it is in probability Tricky
Comment from : J W

Heads is heavier because it has more part going out so it is easier for it to go down
Comment from : Deon L

I only got 2 flipsssss to disseapearing my coin, lol
Comment from : irvan usemahu

I thing you were wrongbrActually they still have 50 chance of winningbrThey both need to have the head first to continue So the probability for the next head or tail still 50
Comment from : xıuǝoɥdʎɹǝıɟ

This video wrong, because it applies the math as if both brothers flip the coins for themselves, while the situation stated they fliped coins together that counted for bothbrThe way the situation was stated, it's fair again because after the first heads (which both need), it's either heads again or tails Either way 1 person won, so it doesn't matter wheather the other path in that diagramm goes to the start or stays where it is, as the game is over by that point
Comment from : Safrus Salmus

Still don't get it In this example, the triggering factor is the first heads, because no matter how often tails shows in a row, neither of them can win if it isn't heads firstbrAfter that, the next flip decides the game with 50/50, or am I missing something?
Comment from : Deniz Veltri

On the testing coins picture, the coins flipped for heads - tails flips head - heads first The heads - tails is only statistically faster than heads - heads if they're either using different coins, which seems to be the case (which confuses us since it's not directly stated, only shown in the animation), or you're going for multiple winsbrbrThe reason for this is because the second paths cannot be taken After heads is flipped, either Orville or Wilber wins next flip, and this is true because the first flip is linked Another way this problem could have been presented is if Wilber won on tails - heads instead of heads - tails; however, this would have made the solution more intuitive as after flipping tails once it's impossible to flip heads twice before flipping heads once, while after flipping heads, you can still flip tails without flipping heads again, this gives Orville a 20 chance to win
Comment from : Axel

While the average might be unfair, it wouldn't matter if the brothers actually played the game:brbrIf they start out with some number of tails they can ignore those, since the winning sequence starts with heads for either brotherbrbrEventually the first heads will come brbrNow there are 2 possible follow ups:brHeads->bro1 winsbrTails->bro2 winsbrbrSo the probability for either brother remains 50-50brbrPlease correct me if I'm mistaken or confirm if I'm into somethingbrbrCheers
Comment from : Csaba Dunai

delhellu/del
Comment from : badum bash

If there's only one coin and they're waiting to see which combination comes up first, they each have a 50/50 chance--so it's counter-intuitive that this changes when there are two separate coins
Comment from : Good-Looking Corpse