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Critical Thinking Part 5: The Gambler’s Fallacy

Critical Thinking Part 5: The Gambler’s Fallacy

Posted on September 10, 2019 by Sydney Nguyen


You’ve watched that coin flip nine times. Heads, tails, then heads again, then tails, tails, tails, tails, tails, tails. And, what’s going to come up next? Tails has been having a pretty good run, so it must be another tails. Or are we due for another heads? There are patterns everywhere in the universe, and our brain is very good at recognising them. Perhaps too good. It can readily see patterns that just aren’t there In truth, there is a fifty percent chance of heads and a fifty percent chance of tails, after every toss. It doesn’t matter what came before, and luck doesn’t come into it. At all. But it’s hard to shake that feeling that
there’s a pattern in there somewhere – if only we look hard enough. This is called the Gambler’s Fallacy. Our assumption that probability changes,
depending on past results. And this may explain why casino’s make so much money. It’s all a matter of probability, one of the more
complicated forms of logic. In fact it’s so complicated, it was only a few centuries ago that some
smart French chaps by the names of Pascal and de Fermat, worked out much of the mathematics
behind it. Our brains make it difficult for us to see
the logic in probability and lead us astray. We’re wired to link the things we see as if they’re related. For example, seeing a flash of lightning
and hearing a boom of thunder makes it seem like as if the thunder was caused
by the lightning. And there are plenty of reasons to believe that’s true. But what if you ate a hotdog and then got sick.
Was it the hotdog, or was it something else entirely? Medicine is full of such head scratching
questions. People take pills and feel better. But a lot of logic and probability is
needed to determine whether the pills were truly responsible. Just because one
thing follows another, even if it happens a few times, does not necessarily mean that
they’re linked. There could be other factors, or it could simply be
coincidence. To know for sure you have to test the
circumstances again and again, looking for those other factors that could
disprove the link. This reinforces confidence that your pattern
is true. This is what science does. So while our brains see patterns, and this is often
very useful, it takes science to prove that these patterns are real.

53 thoughts on “Critical Thinking Part 5: The Gambler’s Fallacy”

  1. Quade says:
    March 6, 2012 at 8:10 pm

    If a heads side of a coin has more weight, it will be more likely to land heads down. And vice versa.

    Reply
  2. Christopher Morrow says:
    March 8, 2012 at 5:34 pm

    @Alexthebling For a conventional flat-disc type coin, any weight "on one side" will also be on the other, unlike with a six-sided die (for example). So actually making a trick coin is much harder than that. Most coins in most countries are fair.

    Reply
  3. Jerry De Luca says:
    April 9, 2012 at 12:16 am

    What a stark description of gamblers from the editor of National Review………………

    Reply
  4. terrabun says:
    May 14, 2012 at 11:57 am

    In the real world, yes. For the sake of argument and demonstration, as here, one has to assume or agree that the coin is fair.

    Reply
  5. Vanessa Abrahams says:
    June 5, 2012 at 2:01 pm

    Great video! I work in PR for an online casino, and people are always asking me if this or that "betting system" will work. Betting systems actually exploit the gambler's fallacy because they tell people to bet on the expectation that a certain outcome is 'due' in roulette, craps or slots. If only people thought a bit they'd realize that if a betting system could beat the house, casinos would go out of business in a flash!

    Reply
  6. Jack Miller says:
    September 5, 2012 at 11:25 pm

    Coolness!

    Reply
  7. ACCCGStThomas says:
    December 29, 2012 at 7:23 am

    We took this is school. Good info.

    Reply
  8. Влад Кент says:
    February 5, 2013 at 11:29 am

    Переведите это уже на русский язык, блядь!

    Reply
  9. techNyouvids says:
    February 5, 2013 at 2:26 pm

    We've received offers to write transcripts for the videos in other languages. Would you like translate to Russian?

    Reply
  10. techNyouvids says:
    February 6, 2013 at 2:52 am

    Getting permission to have them redubbed is tricker, but we'll keep your request in mind and will let you know. Thanks!

    Reply
  11. Semyon Galtsev says:
    March 12, 2013 at 2:58 pm

    I'm a professional translator and I'm currently working on translating the series into Russian for the people from the Zeitgeist movement. It'll be completed in a couple of days. If you wish, I can contact you when I'm done and send the text broken down into same pieces as they appear in the video. I read my YT PM regularly, so you may reply there directly.

    Reply
  12. techNyouvids says:
    March 18, 2013 at 4:12 am

    Hi Semyon – yeah that would be great. PM it to us when you're done. Thanks!

    Reply
  13. techNyouvids says:
    April 15, 2013 at 2:20 am

    Is it a good kind of hurt? 😉

    You know we have season 2 coming up? 🙂

    Reply
  14. deleteme says:
    April 20, 2013 at 12:43 pm

    Though it's hard to admit, in the end we don't even know that cause and effect exist. There are quite a few things like this everyone assumes; otherwise we couldn't have science.

    Reply
  15. MrNappa300 says:
    April 23, 2013 at 8:12 pm

    I move a penny. The penny has been moved. Cause an effect. I can prove that i caused the penny to move.

    Reply
  16. _ says:
    May 7, 2013 at 10:28 am

    What will Season 2 involve?

    Reply
  17. techNyouvids says:
    May 12, 2013 at 11:33 am

    It's happening right now – eps 3 or season 2 up real soon 🙂

    Reply
  18. judojustim says:
    May 24, 2013 at 9:09 pm

    Most of us dont. thats why we have religion.

    Reply
  19. Jarrett Schneider says:
    June 4, 2013 at 5:29 am

    There's no way I'm the only one who saw a swastika in the stars. Maybe that's 'cause that's what I always see…

    Reply
  20. Jarrett Schneider says:
    June 4, 2013 at 5:33 am

    I too felt the hurt. Probably a good one though.

    Reply
  21. Daniel Thomas says:
    June 11, 2013 at 12:56 am

    Don't be so hard on yourself though. Part of that was likely instinct, which is an unguided process. Blame the fallacy on natural selection. 😛

    Reply
  22. Réti says:
    June 17, 2013 at 12:47 pm

    Cause and effect is one of the most fundamental observations of the universe and is the basis of all the laws of physics, everything that exists in the universe and everything that has happened and will ever happen. If you're taking the position that nothing can be known for certain, then sure, cause and effect might not exist, the universe itself might not exist, we might all be dreaming right now etc.
    But if you're genuinely skeptical about cause and effect then you might as well know nothing.

    Reply
  23. deleteme says:
    June 17, 2013 at 12:57 pm

    I agree, I was just pointing out that it generally makes more sense to speak of probabilities than certainties, since correlation can never truly prove causation. This is why scientific theories are called "theories".
    It makes sense to assume such fundamental things are real as, if nothing else, a methodological assumption. Thinking any other way would lead to solipsism.

    Reply
  24. Minor Edit says:
    June 22, 2013 at 2:04 pm

    2:22 No Audis allowed

    Reply
  25. CR34T1V31D34 says:
    June 28, 2013 at 11:37 pm

    This is my favorite video of the series !!!

    Reply
  26. Scbdfrg Stratten says:
    July 26, 2013 at 11:17 pm

    i found Vsouce Veritasium and this channel this night… my brain is about to explode!!!

    Reply
  27. TheaDragonSpirit says:
    July 31, 2013 at 12:58 pm

    Actually there is more like a 49.9% chance of tails. 0.2% chance of it landing on the the edge, unless forced to a down position.

    Reply
  28. Sam Niemi says:
    August 1, 2013 at 11:53 am

    If you flip a coin 99 times and it always comes up heads, what is the probability that it will come up heads on the next flip? The statistician will tell you 50%. At some point you have to start believing that the coin isn't perfectly balanced.

    Reply
  29. TheaDragonSpirit says:
    August 9, 2013 at 3:50 pm

    Nice.

    Reply
  30. TheaDragonSpirit says:
    August 9, 2013 at 3:51 pm

    Reason I say this was because I was messing around tossing a coin I chucked in the air on to my table it landed on the table, started to spin, then stopped in the up right position. It was awesome.

    Reply
  31. Delahunta says:
    September 25, 2013 at 5:25 pm

    For each individual coin flip the chance is 50 50. However the odds of getting heads heads heads heads heads heads heads heads is very low. So I guest its how you luck at it.

    Reply
  32. Lakia Inspires says:
    October 2, 2013 at 3:16 am

    Awesome video!

    Reply
  33. Dave says:
    May 21, 2014 at 6:53 pm

    I'd say there is a greater chance the coin would land tails.
    When I was a kid I developed the skill to dictate the results of my indoor coin flips to an accuracy greater than 95%. It all boiled down to precise muscle memory and subtle tricks.

    If you pay attention to the side the flipper starts on each time, a flipping habit could skew the 50/50 probability, for instance:

    When the flipper starts on heads, it lands heads.
    When the flipper starts on tails, it lands tails.
    He naturally rotates the coin when placing it on his thumb causing a 'heads-tail-heads-tail' pattern however, the individual probability for each flip is not 50/50.

    If I expand on my initial statement I'd want to say there is a greater chance the coin would land tails, but in all honesty I'd have to be there in person to make my prediction.

    Reply
  34. Marco lara says:
    July 29, 2014 at 7:27 pm

    Good work

    Reply
  35. Elas Mobranch says:
    August 2, 2014 at 7:24 am

    Good series, worth showing your kids. 

    Reply
  36. sisbrawny says:
    November 10, 2014 at 3:55 pm

    Thunder is caused by lightning..

    Reply
  37. sengelle says:
    March 11, 2015 at 5:28 am

    this reminds me of the monty hall problem.
    why it gets constantly misunderstood is because of the gamblers fallacy, what this guy talks about here..  only now,  ive been able to put it into words.

    Reply
  38. D S says:
    May 18, 2015 at 5:59 am

    flipping a coin never seemed like a good example to me…you could just get used to flipping it with such finesse and precission that it will always land heads/tails….so its not

    Reply
  39. Jason G says:
    June 2, 2015 at 8:58 am

    This series would be useful if it wasn't so obviously geared towards attempting to convince people of politically correct narratives such as Global Warming, Evolution, Vaccinations and such.  It's presented as a way to think logically and in an unbiased fashion but subtely, and deceptively, it places these subjects in the midst of logical discussion, presenting them as fact, without actually discussing the logic and science behind them.  Disappointing

    Reply
  40. Abi says:
    November 12, 2015 at 12:55 am

    Very interesting phenomena. Talking about the medicines, I took this medicine that improves mental focus, I surely felt some difference. This medicine is awesome in improving physical and mental performance for me. Have a look at it

    http://www.amway.com/Shop/Product/Product.aspx/Nutrilite-Rhodiola-110-Dietary-Supplement?itemno=101593&pwsID=AbishaiSingh

    Its awesome!

    Reply
  41. It's Just Milk I Swear says:
    January 20, 2016 at 8:11 am

    it's actually pretty arguable that this is a fallacy to an extent.

    obviously the idea of being on a roll is a fallacy, however, i would argue that getting the same result multiple times in a row on a 50% chance is less likely than getting mixed results.

    for example, if you had just decided you will flip the coin 10 times, it is extremely likely that both results will show up at some point during the 10 flips. the odds of only one result showing up consecutively for all 10 flips is extremely low.

    the idea is not that each flip of the coin lowers the chance of it landing on a specific side. it is always a 50% chance. but getting the same result from a 50% chance several times in a row has a separate percentage chance that needs to be calculated. flipping heads twice in a row has a 25% chance of happening. this is not a 25% chance of getting heads on a second flip, but rather a 25% chance overall, for both of the flips. this is because you are combining two 50% chance actions.

    Reply
  42. Aaron TV says:
    July 31, 2016 at 8:21 pm

    Casino's don't make money because of the gamblers fallacy. That is quite a poor example. The gamblers fallacy would set the casino to break even after a long period of business (assuming non-skill based games). Casino's make money because the odds of the games are in their favor (and other sketchy tactics).

    Reply
  43. Paulin Mbecke says:
    August 10, 2016 at 8:55 am

    This really true

    Reply
  44. Giorgi Gzirishvili says:
    August 25, 2016 at 4:40 pm

    I generally consider myself as a rational thinker, but this thing almost always goes against my intuition despite the fact that I know it's wrong.

    Reply
  45. Jace Wright says:
    September 8, 2016 at 1:01 am

    You made this with stolen money (taxes)? NO! Please tell me it's not true!

    Reply
  46. What says:
    February 6, 2017 at 12:23 am

    Law of averages.

    Every gambling addict's fuel.

    Reply
  47. S0lidSpy24 says:
    September 1, 2017 at 12:24 am

    Forgive my ignorance but.. wouldn't using repeatable evidence and the scientific method to try to discover the patterns in the universe also be the gamblers fallacy?

    Sure, everything in science might seem true now, but.. that's just because we were lucky. If we were to test the same experiments another 1,000,000 times, according to the gamblers fallacy, we could possibly get a different result.

    Can anything ever truly be predicted? If our intuition works so well, and yet things are ultimately unpredictable..

    …Mind blown.

    Reply
  48. crypticnonsense says:
    May 22, 2018 at 7:55 pm

    Okay but what about Dynamic Bayesian Networks?

    Reply
  49. Stephen Wood says:
    May 22, 2018 at 9:24 pm

    To be slightly more accurate: you have a 50% chance of winning a coin toss, *assuming that the coin is evenly weighted*. If tails appears to be doing improbably well, it is possible that it is doing so because the coin was not evenly weighted, and your assumption was false.

    Reply
  50. Anaroch says:
    December 15, 2018 at 6:46 pm

    J*e*d*e*d*i*a*h

    Reply
  51. RadzYt says:
    January 6, 2019 at 1:10 am

    Talk louder, man. I can’t hear you

    Reply
  52. John Fraser says:
    March 10, 2019 at 10:57 pm

    You defined the fallacy well . . . But I wish you would have disproved it rather than go off on a tangent about the history of probability.

    The part that got me was understanding that the probability of flipping H H H H is equal to H H H T

    So while, yes, it’s very unlikely to flip 10 heads in a row; it’s equally unlikely to flip 9 heads and 1 tails!

    Reply
  53. nowonmetube says:
    March 15, 2019 at 7:23 pm

    Psychopaths will not understand that. They believe themselves the most.

    Reply
  54. Jayo Caine says:
    April 21, 2019 at 10:45 pm

    "our brains are too good at seeing patterns, it sees patterns that aren't there"

    That's not being good at seeing patterns, that's actually bad at seeing patterns. Our brains are bad at seeing patterns.

    Reply

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