[HN Gopher] 40k coin tosses yield ambiguous evidence for dynamic...
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       40k coin tosses yield ambiguous evidence for dynamical bias
        
       Author : geocrasher
       Score  : 153 points
       Date   : 2022-06-03 14:57 UTC (8 hours ago)
        
 (HTM) web link (www.stat.berkeley.edu)
 (TXT) w3m dump (www.stat.berkeley.edu)
        
       | wly_cdgr wrote:
       | I guess to be more fair we better flip a coin to determine which
       | way the coin should initially face when we flip it
        
       | Imnimo wrote:
       | I used to play a MUD (a text-based proto-MMORPG). It had a
       | command to let you flip a coin. After many years, a player felt
       | like they were noticing more tails than heads. They ran some
       | experiments, and eventually an administrator checked the code -
       | it turned out there was an off-by-one error in the coin flip
       | logic (which inexplicably relied on generating a random number
       | 1-10), such that coin flips had been 40/60 since the release of
       | the game, and no one had noticed for over a decade.
        
         | nicoco wrote:
         | 30/60 maybe?
         | 
         | EDIT: probably not after reading the comments. I thought I was
         | smart ;)
        
           | feoren wrote:
           | 40/50 probably. One of the 10 numbers never showed up. 1-5
           | tails, 6-9 (should be 10) heads.
           | 
           | I ran into the same thing when I made a custom dice roller
           | for Settlers of Catan. Rand(1, 6) never produced a 6, which
           | you could tell if you inspected the comments closely, but
           | still feels counter-intuitive to me.
        
             | finnh wrote:
             | Our Catan set has noticeably nonuniform dice. They roll
             | high numbers much more frequently than low numbers;
             | presumably bc the high-numbered sides weigh less (?). We
             | haven't buckled down and done the science but it definitely
             | tilts the game play, to the extent that we're considering
             | swapping them out for new dice.
             | 
             | (or this could just be Catan Crankiness (TM), but we've all
             | noticed it quite a bit...)
        
             | sshine wrote:
             | On the subject of Catan and dice:
             | 
             | https://www.chiark.greenend.org.uk/~sgtatham/dice/
        
           | infinityio wrote:
           | Either could be the case - if it was generating numbers from
           | 1-9 instead of 1-10 30/60, if it was comparing <= 5 vs <5 it
           | could be 40/60
        
             | Imnimo wrote:
             | Yeah, I'm almost certain it was the latter. I remember they
             | shared the code snippet, but that was in 2007 and the
             | game's forums have been replaced since then. I did find a
             | recounting of it:
             | 
             | https://forums.achaea.com/discussion/comment/249213/#Commen
             | t...
             | 
             | (and the associated quest to discover the easter egg of a
             | coin landing on its edge with 1 in a million odds that was
             | added when the bug was fixed)
        
         | dekhn wrote:
         | Huh. I once wrote a MUD client that didn't have an obviously
         | documented way to quit and got email for years after
         | complaining that I had "made the application too addictive".
        
         | ycombinete wrote:
         | Which MUD was this?
        
           | Imnimo wrote:
           | Achaea
        
             | 0des wrote:
             | What are the odds wow
        
         | strbean wrote:
         | My favorite baffling RNG bias was in the game Maplestory. It
         | always seemed like RNG was extremely "clumpy". For example,
         | critical hits would frequently come in bursts - you might get
         | around 5 seconds of non-stop crits.
         | 
         | The crafting system was heavily chance based. You'd get say 7
         | attempts to augment a piece of gear, using 'scrolls' that had a
         | certain percentage chance of succeeding. The lower the chance,
         | the bigger the improvement to your gear. So a pair of gloves
         | that had 7 successfully applied +attack 10% scrolls would be
         | incredibly valuable. The superstitious method to crafting
         | (which, anecdotally, worked incredibly well) was to get a ton
         | of gloves and a ton of scrolls, and apply one scroll to one
         | pair of gloves and throw them away if it failed. Once you had a
         | single success, you would apply the scrolls as quickly as
         | possible to try and ride the RNG wave. In my experience, this
         | would very frequently result in getting 3+ successes in a row.
        
       | mertd wrote:
       | I'm fixated on the fact that they used a dime. That's a very
       | small coin. I can't say I fully understand the dynamical bias
       | mechanics but u had expected that they use a quarter. It's much
       | larger and easier to toss.
        
         | btilly wrote:
         | They wanted to test the dynamics on long tosses (with lots of
         | flipping). It is easier for a toss to be long if the coin is
         | small.
        
           | dekhn wrote:
           | "We adjusted the methods of the experiment for the
           | convenience of the experimenter" is a common detail most
           | papers leave out.
        
       | frogger8 wrote:
       | From the article
       | 
       | The experiment
       | 
       | Over the Spring 2009 semester two Berkeley undergraduates,
       | Priscilla Ku and Janet Larwood, undertook to do the required
       | 40,000 tosses. After preliminary experimentation with practical
       | issues, there was formulated a specific protocol, described in
       | detail below. Cutting to the chase, here is the complete data-set
       | as a .xlsx spreadsheet (see sheet 2). This constitutes a
       | potentially interesting data-set in many ways -- one could
       | compare numerous theoretical predictions about pure randomness
       | (lengths of runs, for instance) with this empirical data. For the
       | specific question of dynamical bias, the relevant data can be
       | stated very concisely
       | 
       | of 20,000 Heads-up tosses (tossed by Janet) 10231 landed Heads
       | 
       | of 20,000 Tails-up tosses (tossed by Priscilla) 10014 landed
       | Tails
        
         | [deleted]
        
         | gus_massa wrote:
         | From
         | https://www.wolframalpha.com/input/?i=binomial+distribution+...
         | the standard deviation is almost 71, so it's a 3.3 sigma for
         | Janet and .2 sigma for Priscilla. Since this is not particle
         | physics, we can conclude that Janet (or her coin) is doing
         | something wrong.
        
           | mjburgess wrote:
           | p isnt 0.5, which is the point of the article
           | 
           | cf. https://www.wolframalpha.com/input?i=binomial+distributio
           | n+n...
        
         | mjburgess wrote:
         | If there is the theoretical 50.8% we would expect 20,230 same-
         | face-up in 40,000 flips. We find here 20,245. Pretty
         | compelling.
        
         | zeroonetwothree wrote:
         | The data is consistent with a hypothesis that there is some
         | smaller bias in favor of the side you started with (say 50.4%)
         | and an additional bias in favor of heads (say 50.4%).
        
       | GartzenDeHaes wrote:
       | Coin tosses are not stochastic.
       | https://www.npr.org/2004/02/24/1697475/the-not-so-random-coi...
        
         | semi-extrinsic wrote:
         | I think you're trying to say that they are not perfectly fair,
         | which is entirely unrelated to being stochastic.
        
           | fumeux_fume wrote:
           | Thank you!
        
           | t_mann wrote:
           | No, the article actually says that sufficiently precise
           | machine tosses can be considered deterministic. The
           | randomness comes from humans.
        
       | DeathArrow wrote:
       | I think that every physical system is a little biased. That's
       | what they change the balls at lottery for every game.
       | 
       | I've read an article about a guy who was observing frequencies at
       | roulette long time ago and, based on that, he made some wins. The
       | casino learned that and switched the tables each day, so he
       | wasn't able to win any more.
        
         | bombcar wrote:
         | There's someone who built a craps table and perfected exactly
         | how to throw the dice. If you control the inputs, you control
         | the output.
         | 
         | I could see someone learning exactly how to flip a coin to
         | control how it lands, or at least greatly influencing the
         | outcome.
        
         | macintux wrote:
         | Discussed here: https://news.ycombinator.com/item?id=30489022
        
       | 29athrowaway wrote:
       | If you do a movement 40,000 times, you will be memorizing the
       | movement.
        
       | dieselgate wrote:
       | I didn't read the paper with a fine toothed comb but it seems
       | like the two undergraduate researchers were flipping the coins by
       | hand? If anyone can confirm or deny I would very much appreciate
       | it! Bringing this up because it seems to introduce much
       | variability into each flip?
        
       | benibela wrote:
       | That reminds me of parapsychology
       | 
       | They have performed lots of experiments where you do a random
       | experiment and try to change the outcome with your mind.
        
         | feoren wrote:
         | And this comment reminds me of one of my favorite articles I've
         | seen linked from HN, "The Control Group Is Out of Control",
         | relating to parapsychology as the control group for science and
         | how that's not actually necessarily looking great for science
         | itself: https://slatestarcodex.com/2014/04/28/the-control-
         | group-is-o...
        
           | closeparen wrote:
           | > It just means that the standard statistical methods of
           | science are so weak and flawed as to permit a field of study
           | to sustain itself in the complete absence of any subject
           | matter.
        
       | t_mann wrote:
       | Interesting experiment! Here's a suggestion for a new protocol:
       | set up a stand at some busy places (stadiums, train stations,...)
       | and ask random passers-by to toss a coin a few times 'for
       | science'. Should be easier to get to statistically meaningful
       | orders of magnitude (if not, go to a cosplay event in 'The
       | Witcher' costumes, that should help ;)), and arguably far more
       | representative for the situations that we care about: the two
       | participants will have become far more experienced at coin
       | tossing after 20k tosses, but we care more about random people
       | who hardly ever toss coins (we already know that people who
       | practice a lot can control the outcome of a toss with reasonable
       | accuracy).
        
       | dekhn wrote:
       | I think my approach would be to build a coin-flip machine (well,
       | several) that could operate independently, then use computer
       | vision to get the final readout (the result of the flip). Then,
       | if it deviates from expected, use a high speed camera to watch
       | the coins. Oh, and randomize _everything_ about the trials.
        
         | 2b3a51 wrote:
         | As in the paper referenced in the OA?
         | 
         | https://statweb.stanford.edu/~cgates/PERSI/papers/dyn_coin_0...
         | 
         | Wasn't the idea to test the difference between human and
         | machine tosses?
        
           | dekhn wrote:
           | The link on that page doesn't resolve, nor is that what the
           | short writeup about the undergraduate work is about.
           | 
           | Most of what the statisticians conclude about the physics
           | seems to be based on poor experimental design. measuring
           | human biases in coin flips seems to be a bit off the point--
           | you'd do better building a machine that emulates humans
           | better, than to take two people and collect a large number of
           | samples between them.
           | 
           | Put another way: when somebody builds a robot and collections
           | the results of thousands of coin tosses, picking two
           | undergrads at stanford and using their physical mechanisms
           | does not advance any useful scientific argument about bias in
           | coin flipping. It just muddles reality with advanced stats on
           | heavily biased data.
        
         | gus_massa wrote:
         | Take a look at " _Dice-O-Matic hopper and elevator_ "
         | http://gamesbyemail.com/News/DiceOMatic HN discussions
         | https://news.ycombinator.com/item?id=14806986 (246 points |
         | July 19, 2017 | 57 comments) and
         | https://news.ycombinator.com/item?id=626092 (81 points | May
         | 26, 2009 | 4 comments)
        
           | dekhn wrote:
           | yes, that's a design. It's hard to see the details because
           | the video is poor and the explanation is a bit rambling. It
           | looks much more complicated than necessary and from what I
           | can tell, the rolls themselves aren't truly independent
           | because dice can interact with each other.
        
       | williamkuszmaul wrote:
       | If the coin were unbiased, we could compute the exact probability
       | of getting 10231 or more heads with 20000 flips as:
       | 
       | "sum (20000 choose x)/2^20000 for x from 10231 to 20000",
       | 
       | which Wolfram Alpha evaluates to 0.00056.
       | 
       | The probability of getting a number of flips that differs from
       | 10000 by at least 231 is twice that, so about 0.001.
       | 
       | So, in fact, the probability of this happening by dumb luck is
       | about 1/1000. That's pretty strong evidence.
        
         | [deleted]
        
       | UberFly wrote:
       | Bring on the robot baseball umpires and the NFL robot coin
       | flippers.
        
       | 1970-01-01 wrote:
       | >>separate the effect of individual tossing style from any
       | possible effect arising from the physical difference between
       | Heads and Tails. But it is very hard to imagine any such physical
       | effect, so we presume the observed difference (if real rather
       | than just chance variation) is due to some aspect of different
       | individual tossing style.
       | 
       | Much more boring title: "40k coin tosses reveal bad presumption
       | and a biased coin"
        
       | TheDesolate0 wrote:
       | 40k seems a tad on the low side, by several orders of magnitude.
       | 
       | Seems like a hastily done spring projects
        
         | eklitzke wrote:
         | It was an undergraduate research project.
        
       | h2odragon wrote:
       | This field of study obviously needs a much larger number of
       | tossers.
        
         | [deleted]
        
         | [deleted]
        
         | [deleted]
        
         | a9h74j wrote:
         | Next crypto class: Proof of coin tosses.
        
         | _jal wrote:
         | Too bad ibankers make too much to want to be study subjects.
        
       | whoomp12342 wrote:
       | If we are looking that granular of detail, does the shape and
       | weight distribution of the coin matter?
        
       | [deleted]
        
       | sbf501 wrote:
       | Referees need to start rolling a d20.
        
         | jonhohle wrote:
         | Isn't that why you "call it in the air"?
        
         | segfaultbuserr wrote:
         | Or just use von Neumann's debiasing algorithm - toss twice, and
         | see if it's head-tail or tail-head, retoss when you get
         | repeated heads or tails. It doesn't prevent dishonest tosses
         | (if you can manipulate the bias in each toss), but should work
         | to eliminate a consistent dynamic bias by an honest tosser.
        
       | mrandish wrote:
       | > A first comment is that it would have been better for each
       | individual to have done both "Heads up"and "Tails up" tosses
       | (which was part of the intended protocol, but on this aspect of
       | the protocol there was a miscommunication)
       | 
       | That was a pretty unfortunate error in the experiment. Maybe it
       | doesn't matter but now we don't know. It would also have been
       | nice to have them swap coins halfway to expose any individual per
       | coin biasing. It may seem like an irrelevant thing but I've been
       | a lifelong magician specializing in advanced slight of hand coin
       | magic. I carry a set of coins with me all day, every day and
       | handle them constantly. It started out as practice but evolved
       | into both practice and a kind of fidget toy. I have sets of coins
       | I've probably handled for thousands of hours over decades.
       | 
       | Most people think of coins as immutable but they actually change
       | quite a bit after hundreds of hours of handling. Most advanced
       | coin magicians don't tend to use "trick" coins from a magic shop
       | because they are actually too limiting. The coins I use are
       | completely normal circulated coins but they are very specific
       | because there are subtle differences in how coins handle which,
       | at the most advanced levels, can matter. I have year-matched sets
       | of coins I've carefully assembled because they have the degree of
       | surface wear (sometimes called 'softness') and edge-milling which
       | works best for the style of slights I do. Coins also vary in
       | shape and many aren't quite round. I've actually hired a
       | specialized machinist (aka coin-smith) to 'true-up' the shape and
       | then re-mill the edges of certain coins.
       | 
       | Based on my admittedly unusual experience in handling coins, I
       | suspect that weight, edge and surface variations in individual
       | coins could have a material aerodynamic impact at this
       | statistical level (sub-half a percent). BTW, there are coin
       | magicians who have mastered the ability to flip a normal coin and
       | control the outcome to >95%. While the coin is normal in every
       | way, it does need to be a coin they've specifically trained with.
       | Otherwise the hit rate falls considerably.
        
         | modernerd wrote:
         | Please send us further down this rabbit hole, it sounds
         | fascinating!
         | 
         | What sort of flourishes/fidgets do you find yourself
         | gravitating to most?
         | 
         | What does great sleight of hand coin magic look like? Who do
         | you admire most?
         | 
         | Where should someone get started if they want to explore this?
        
           | mrandish wrote:
           | > What sort of flourishes/fidgets do you find yourself
           | gravitating to most?
           | 
           | There are a huge variety and it's mostly down to personal
           | preference. Popular flourishes include coin rolls and coin
           | stars. Popular slights include dozens of different palms with
           | single and then multiple coins.
           | 
           | > What does great sleight of hand coin magic look like?
           | 
           | Done right it can be absolutely mind-blowing. For an example
           | take a look at some of Danny Goldsmith's videos
           | (https://www.dannygoldsmithmagic.com/). Danny is very, very
           | good but like a lot of specialized skills, those who aren't
           | deeply into it won't be able to notice a meaningful
           | difference between the top 20% of coin workers.
           | 
           | > Who do you admire most?
           | 
           | That's really down to personal taste and style. One unusual
           | thing about magic is that the "best magicians" in the eyes of
           | other experienced magicians are generally people you've never
           | heard of. Fame doesn't really correlate with the pinnacle of
           | skill. While most famous magicians like a David Copperfield
           | are skilled, they would be the first to tell you they can't
           | hold a candle to the most skilled coin workers or card
           | mechanics.
           | 
           | > Where should someone get started if they want to explore
           | this?
           | 
           | For _serious_ coin work, Danny 's teaching videos would be a
           | good start. Look for ones he flags as being appropriate for
           | novices. For learning the art of magic in general, I'd
           | suggest not wasting money buying individual "tricks" unless
           | you just want a few easy party tricks to amaze (or annoy)
           | friends with. Most people who get deep into magic discover
           | that the most valuable and broadly applicable knowledge comes
           | from books, videos and live learning (called "sessioning" by
           | close-up workers). I don't buy much magic in recent years
           | because I'm at the point of just perfecting skills, so it's
           | hard to recommend an online store but a safe bet for
           | beginners would be Vanishing Inc.
           | https://www.vanishingincmagic.com/. The guys that run VI are
           | deeply experienced and they seem to avoid selling a lot of
           | the 'crap magic' that looks amazing to novices but isn't
           | actually all that useful. I was at a lecture by the co-
           | founder a few weeks ago and the guy not only has deep
           | knowledge and mad skills, he clearly loves magic and is good
           | at teaching.
           | 
           | If you just want to watch some higher-quality magical
           | performances, I'd suggest Penn & Teller's "Fool Us" show
           | (lots of clips on YouTube). The technical coordinator on that
           | show, Michael Weber, is a long-time magical inventor and
           | author who is well-regarded by other magicians. He and Teller
           | work together to curate the acts that get on the show and
           | you're basically getting to see some top notch talent hand
           | selected by guys who know the difference.
        
         | tash9 wrote:
         | Well it's not like we're gonna run out of undergraduates, just
         | do the experiment again.
        
         | tetris11 wrote:
         | Unrelated question: how do your hands look after handling coins
         | so constantly as you do? Is there a slight sheen to them? Do
         | you have less hair on your hands than you normally would, or
         | more?
        
           | mrandish wrote:
           | No, there's no noticeable difference in the skin surface of
           | my hands. Over years of practice, serious coin workers do
           | develop substantial hand muscle strength and joint
           | flexibility but that's not visually noticeable. It's also
           | just a byproduct of practice and not needed for most of what
           | we do. The key physical ability isn't applying force, it's
           | actually enhanced sensitivity. I can feel precisely where the
           | coins are and feel how the weight is shifting as they move.
           | This sensitivity enables precise control which is really the
           | key thing.
        
             | spdionis wrote:
             | Funnily enough, but also not surprising, it's the same for
             | drummers and their preferred type of sticks.
        
             | raincom wrote:
             | It is called "kinesthesia", which is important in playing
             | musical instruments, sports, flying aircraft, etc. With
             | respect to flying, pilots trained by Army (navy, airforce)
             | develop these skills far better than those directly
             | recruited by carriers from colleges. We can see those
             | results in some fatal crashes (Air France 447, Asiana 214).
             | I am not blaming the pilots. When one flies with the aid of
             | machines (fly by wire, simulators), one doesn't develop the
             | kinesthesia required to get out of tricky situations(when
             | instruments don't work or when instruments misread, etc).
        
             | AndyNemmity wrote:
             | The same is true for card magicians, and card handling. I
             | have a lot of things I can do with my hands and joints that
             | aren't something you can see.
             | 
             | Same with enhanced sensitivity. I can fairly accurately
             | tell you how many cards I pick up from a group. It's just
             | practice, once you can do 2, you do 3, all the way up to
             | 10, to 15 to 20.
        
               | posterboy wrote:
               | Is that a kind of subdigitizing?
        
         | gfodor wrote:
         | Imagine being in the room when they realized that, after forty
         | thousand coin tosses, they screwed up the experiment. Oops.
        
           | ihattendorf wrote:
           | Then it becomes an 80k coin toss experiment :)
        
             | sillysaurusx wrote:
             | This is how ML training goes. My longest run was 2 months
             | before it collapsed.
        
         | the__alchemist wrote:
         | That's super interesting! Of note, the book Quicksilver (First
         | book in the Baroque Cycle) goes into a few diatribes about
         | subtle differences in coins in Europe a few hundred years ago;
         | eg coins being valued by metrics other than their face value.
         | 
         | Eg: > "I say, Daniel, is it true what they say, that those
         | coins are perfectly circular?"
         | 
         | > "They are, Isaac--not like the good old English hammered
         | coins that you and I carry in such abundance in our pockets and
         | purses." ... >"if someone clips or files a bit of metal off the
         | edge of a round coin with a milled edge, it is immediately
         | obvious."
         | 
         | > "That must be why everyone is melting those new coins down as
         | fast as they are minted, and shipping the metal to the
         | Orient...?" Daniel began,
         | 
         | > "...making it impossible for the likes of me and my friend to
         | obtain them," Isaac finished.
         | 
         | > "Now there is a good idea--if you can show me coins of a
         | bright silver color--not that black stuff--I'll weigh them and
         | accept them as bullion."
         | 
         | > "Bullion! Sir!"
         | 
         | > "Yes."
         | 
         | > "I have heard that this is the practice in China," Isaac said
         | sagely. "But here in England, a shilling is a shilling."
         | 
         | > "No matter how little it weighs!?"
         | 
         | > "Yes. In principle, yes."
         | 
         | > "So when a lump of metal is coined in the Mint, it takes on a
         | magical power of shillingness, and even after it has been filed
         | and clipped and worn down to a mere featureless nodule, it is
         | still worth a full shilling?"
         | 
         | > You exaggerate," Daniel said. "I have here a fine Queen
         | Elizabeth shilling, for example--which I carry around, mind
         | you, as a souvenir of Gloriana's reign, since it is far too
         | fine a specimen to actually spend. But as you can see, it is
         | just as bright and shiny as the day it was minted--"
         | 
         | > "Especially where it's recently been clipped there along the
         | side," the lens-grinder said.
         | 
         | > "Normal, pleasing irregularity of the hand-hammered currency,
         | nothing more."
        
           | 0des wrote:
           | Are we all in the same book club or something?
        
             | gibspaulding wrote:
             | A substantial chunk of the books I read are based on HN
             | recommendations, so... yes?
        
             | robwwilliams wrote:
             | Egghead book club. Neal Stephenson, Greg Bear, Greg Egan...
        
         | User23 wrote:
         | > BTW, there are coin magicians who have mastered the ability
         | to flip a normal coin and control the outcome to >95%.
         | 
         | I managed 11 heads in a row with a quarter when I was in high
         | school. I was intentionally going for heads so it was either
         | beginner's luck or an absurd statistical fluke.
        
           | onphonenow wrote:
           | Even when not trained if you are basically looking to
           | "repeat" a motion, you can get a reasonably consistent flip.
           | A lot of folks think these far out results are just
           | statistics, but statistics actually tells us how incredibly
           | rare this would be.
           | 
           | 11 in a row is perhaps still part fluke without training, but
           | as long as you were trying to do the same thing again not
           | unreasonable.
        
             | [deleted]
        
           | kadoban wrote:
           | If you're not using a specific technique, that was just a
           | fluke.
           | 
           | I'm not a magician, I just learned this one trick/set-of-
           | tricks (and I'm not 95% success at it either).
        
           | [deleted]
        
       | swayvil wrote:
       | Would a true rng (electron noise or whatever) be an acceptable
       | substitute for physical coinflipping?
       | 
       | Has anybody tried this while under the influence of "psychic
       | power enhancers" (psychedelics, meditation, sex, etc)?
        
       | zuminator wrote:
       | They mentioned that when A tossed the coin, B would record the
       | result on a spreadsheet. But did A know the result of each coin
       | toss as it happened and read it off to B, or did B whisk the coin
       | out of A's hand without A's knowledge of the outcome? Ideally it
       | should be without knowledge of the outcome, so that A's tossing
       | style wouldn't be subconsciously influenced by the result in a
       | kind of self-inflicted Clever Han(d)s effect.
        
       | deweller wrote:
       | > of 20,000 Heads-up tosses (tossed by Janet) 10231 landed Heads
       | 
       | > of 20,000 Tails-up tosses (tossed by Priscilla) 10014 landed
       | Tails
       | 
       | Why not do 10,000 Heads-up and 10,000 Tails-up tosses for each
       | person?
        
         | pc86 wrote:
         | > > _A first comment is that it would have been better for each
         | individual to have done both "Heads up"and "Tails up" tosses
         | (which was part of the intended protocol, but on this aspect of
         | the protocol there was a miscommunication)_
        
       | lumost wrote:
       | From a physics stand point, coin tossing is similar to knife
       | throwing or axe throwing. It's completely within human capability
       | to intentionally or unintentionally time the toss with some
       | degree of accuracy. I doubt anyone can be "good" at this
       | (otherwise it would be a great grifting trick), but surely this
       | creates at least a marginal bias in the data at a high enough
       | scale.
        
         | paxys wrote:
         | People can definitely get "good" at coin tossing. It isn't even
         | too difficult a trick to master. It's not really possible to
         | use it in any kind of grift scenario though, because there
         | aren't any real world cases where you can win money (or gain
         | any advantage) just by tossing a coin a certain way. Rolling
         | dice has a lot more potential, but those are in turn heavily
         | monitored, e.g. in casino settings.
        
           | JulianWasTaken wrote:
           | > there aren't any real world cases where you can win money
           | (or gain any advantage) just by tossing a coin a certain way.
           | 
           | Paying off a referee to have the coin turn up heads in
           | overtime in a football game seems like it may net you some
           | profit.
        
             | paxys wrote:
             | If you can pay off a referee then the coin toss would be
             | the least effective way to do it. A single bad call would
             | gain you a much bigger advantage.
        
               | dTal wrote:
               | It has far more plausible deniability, however.
        
               | bluGill wrote:
               | Maybe. It only takes one bad call at the right time to
               | throw a game. If the ref is consistently bad and missing
               | call for both sides what is one more bad call?
               | 
               | I don't care much about bad refs so long as they are
               | consistently bad. However a perfect ref who missing one
               | critical call is a lot more suspicious. Of course I
               | prefer a great ref, but I can work with a fairly bad ref.
        
             | aidenn0 wrote:
             | I believe NFL coin tosses let the coin hit the ground. All
             | methods I know of biasing a coin toss involve catching the
             | coin. As long as the coin hits the ground and bounces at
             | least once, a lot of randomness is re-introduced.
        
         | samatman wrote:
         | Forcing a coin toss of the sort described in the article is
         | well within reach of the interested stage magician.
         | 
         | Forcing a coin toss of the kind used in sport, where the coin
         | hits the ground, is more difficult.
        
           | feynmanalgo wrote:
           | You don't have to be a magician. I was impressing other kids
           | doing exactly this, you just toss so the coin goes high but
           | turns slowly and catch it in your hand rather than let if
           | fall to the ground. After not so many tries you get a pretty
           | good intuition on how you have to throw to get the desired
           | result.
        
             | samatman wrote:
             | It works the other way around, this kind of trick is
             | (stage) magic so if you're doing it, hey presto, you're a
             | magician.
        
             | kadoban wrote:
             | There's also a particular method to get the coin in a
             | tilted spin that looks (and sounds) _remarkably_ like a
             | real flip, and is I think going to be more repeatable than
             | what you're describing.
        
         | posterboy wrote:
         | It wouldn't be. People who fall for shell games have to accept
         | that it's fishy and just want to show they are better.
        
         | bitcurious wrote:
         | When I was around 15 I tried to master the controlled coin
         | flip, having been exposed to the idea in one of the Stainless
         | Steel Rat books by Harry Harrison. I reached around 80% success
         | flipping for heads, so long as I used the catch-and-show
         | method. It was easier with heavier and bigger coins, tougher
         | with lighter and smaller ones. Letting the coin drop the the
         | ground and bounce took me back to 50%.
         | 
         | Satisfied that it could be done, I moved on - never used the
         | skill, except as a party trick.
        
           | gfodor wrote:
           | This is why the casino people get upset when you roll the
           | dice at a craps table and continually avoid hitting the back
           | wall. The rubber pyramids lining the wall are critical to
           | ensuring they maintain their edge :)
        
           | raegis wrote:
           | Same here. Long ago I tried to generate an encryption key by
           | flipping a coin. After getting a rhythm and flipping heads 20
           | consecutive times I gave up.
        
             | titzer wrote:
             | You could still XOR longer runs together, reducing the
             | bitrate but mostly eliminating the bias.
        
         | TimesOldRoman wrote:
         | Even that poses a fun test. What flipping method is needed to
         | ensure some level of randomness.
         | 
         | I love that idea of a grifter being able to flip a coin as they
         | choose.
        
           | MisterBastahrd wrote:
           | Probably a device that would uniformly toss the coin with
           | regards to force applied at X number of different strengths.
        
             | ChadNauseam wrote:
             | Or have both people flip a coin secretly, then reveal the
             | coins and XOR the results :D
        
           | faheel wrote:
           | Maybe letting the coin fall on a hard surface, so that it has
           | a chance to bounce/spin randomly before falling flat (or
           | staying on its side!)
        
         | Jaepa wrote:
         | Antidotally I can confirm that it is possible toss a coin like
         | that. It helps have a larger coin and to impart it with
         | relatively little rotation.
        
           | TedDoesntTalk wrote:
           | I can consistently flip a US quarter and get the desired
           | outcome. I have not measured accuracy but is definitely 80%
           | or more. This can be with a quarter I just picked up at a
           | store... no special wear.
        
         | williamkuszmaul wrote:
         | From what I've heard, Perci Diaconis (one of the authors of the
         | original paper) actually could do this. He was a magician
         | before he became a mathematician, and a lot of his early
         | mathematics work focused on math relating to the magic tricks
         | he used to do
        
           | dhosek wrote:
           | Art Benjamin at Harvey Mudd College is another
           | magician/mathematician. The two skills line up pretty well,
           | it seems. When I got my math teaching credential there were
           | two people in my cohort who did magic tricks as well as at
           | least one teacher at the school where I did my student
           | teaching.
        
         | [deleted]
        
         | kloch wrote:
         | In roulette this is known as the "dealers signature" where a
         | bored zoned out dealer can sometimes hit the same region/sector
         | of the wheel on consecutive spins.
         | 
         | I've seen this happen (or at least appear to happen) in real
         | life where an obviously bored dealer was consistently hitting
         | the same 1/3'd of the wheel and players were taking advantage
         | of it. After a while a suit shows up and starts giving heat not
         | to the players but to the _dealer_. Chatting them up with
         | nonsense conversation to distract them out of their zone. This
         | wasn 't a pit boss/supervisor but casino security - guys that
         | emerge from back rooms to give heat to card counters in
         | blackjack.
         | 
         | The distraction worked: the now very awake and nervous dealer
         | was no longer hitting similar areas and the players moved on to
         | other tables.
        
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