This website uses cookies

As a user in the EEA, your approval is needed on a few things. To provide a better website experience, uses cookies (and other similar technologies) and may collect, process, and share personal data. Please choose which areas of our service you consent to our doing so.

For more information on managing or withdrawing consents and how we handle data, visit our Privacy Policy at: ""

Show Details
HubPages Device IDThis is used to identify particular browsers or devices when the access the service, and is used for security reasons.
LoginThis is necessary to sign in to the HubPages Service.
Google RecaptchaThis is used to prevent bots and spam. (Privacy Policy)
AkismetThis is used to detect comment spam. (Privacy Policy)
HubPages Google AnalyticsThis is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy)
HubPages Traffic PixelThis is used to collect data on traffic to articles and other pages on our site. Unless you are signed in to a HubPages account, all personally identifiable information is anonymized.
Amazon Web ServicesThis is a cloud services platform that we used to host our service. (Privacy Policy)
CloudflareThis is a cloud CDN service that we use to efficiently deliver files required for our service to operate such as javascript, cascading style sheets, images, and videos. (Privacy Policy)
Google Hosted LibrariesJavascript software libraries such as jQuery are loaded at endpoints on the or domains, for performance and efficiency reasons. (Privacy Policy)
Google Custom SearchThis is feature allows you to search the site. (Privacy Policy)
Google MapsSome articles have Google Maps embedded in them. (Privacy Policy)
Google ChartsThis is used to display charts and graphs on articles and the author center. (Privacy Policy)
Google AdSense Host APIThis service allows you to sign up for or associate a Google AdSense account with HubPages, so that you can earn money from ads on your articles. No data is shared unless you engage with this feature. (Privacy Policy)
Google YouTubeSome articles have YouTube videos embedded in them. (Privacy Policy)
VimeoSome articles have Vimeo videos embedded in them. (Privacy Policy)
PaypalThis is used for a registered author who enrolls in the HubPages Earnings program and requests to be paid via PayPal. No data is shared with Paypal unless you engage with this feature. (Privacy Policy)
Facebook LoginYou can use this to streamline signing up for, or signing in to your Hubpages account. No data is shared with Facebook unless you engage with this feature. (Privacy Policy)
MavenThis supports the Maven widget and search functionality. (Privacy Policy)
Google AdSenseThis is an ad network. (Privacy Policy)
Google DoubleClickGoogle provides ad serving technology and runs an ad network. (Privacy Policy)
Index ExchangeThis is an ad network. (Privacy Policy)
SovrnThis is an ad network. (Privacy Policy)
Facebook AdsThis is an ad network. (Privacy Policy)
Amazon Unified Ad MarketplaceThis is an ad network. (Privacy Policy)
AppNexusThis is an ad network. (Privacy Policy)
OpenxThis is an ad network. (Privacy Policy)
Rubicon ProjectThis is an ad network. (Privacy Policy)
TripleLiftThis is an ad network. (Privacy Policy)
Say MediaWe partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy)
Remarketing PixelsWe may use remarketing pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to advertise the HubPages Service to people that have visited our sites.
Conversion Tracking PixelsWe may use conversion tracking pixels from advertising networks such as Google AdWords, Bing Ads, and Facebook in order to identify when an advertisement has successfully resulted in the desired action, such as signing up for the HubPages Service or publishing an article on the HubPages Service.
Author Google AnalyticsThis is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy)
ComscoreComScore is a media measurement and analytics company providing marketing data and analytics to enterprises, media and advertising agencies, and publishers. Non-consent will result in ComScore only processing obfuscated personal data. (Privacy Policy)
Amazon Tracking PixelSome articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy)
jump to last post 1-9 of 9 discussions (10 posts)

If you flip a coin 100 times, will it come up either heads or tails an equal num

  1. Wayne Brown profile image84
    Wayne Brownposted 7 years ago

    If you flip a coin 100 times, will it come up either heads or tails an equal number of times? ...

    Why or Why not?  Statistically, one would think you only have two choices.

  2. Klena profile image65
    Klenaposted 7 years ago

    Q.I actually answered this question dring a show. If you flip a coin 100 times, it will be equally 50-50.

    However, if you flip the coin a larger number of times for a better data spread, it does actually turn out that it will be 51-49 on one answer.

  3. simeonvisser profile image84
    simeonvisserposted 7 years ago

    Edit: Hmm, I see some nice pages on the internet that discuss this in more detail with physics and the realities of actually flipping a coin (rather than an arbitrary 50 / 50 split generator).

    @Klena: Surely you mean the other way around? When you flip a coin only 100 times, it is far more likely that you'll end up with 51 - 49. But when you flip the coin a large number of times, you'll approach and go to 50 - 50. The smaller the number of flips, the less likely it will be exactly 50 - 50. If I flip only 4 times, it may very well be 3 - 1 or 4 - 0 but when I flip a million times, it will be a lot closer or exactly a 50% - 50% split of heads and tails.

  4. Rabid Puma profile image61
    Rabid Pumaposted 7 years ago

    Assuming a fair coin, exactly 50 heads and 50 tails is more probable than any other possibility, but it is lower than the sum of the other possibilities.

    That is to say, the odds of 50h/50t are greater than the odds of 51h/49t and the odds of 50h/50t are greater than the odds 49h/51t, but the odds of 50h/50t are lower than the odds of 51h/49t OR 49h/51t.

    In fact, the odds of exactly 50/50 in 100 flips are fairly low, even though it's the most likely single outcome.

    1. profile image0
      mynameisstefanposted 5 years agoin reply to this

      Just to correct you: the odds of getting 50h/50t is exactly the same as 51h/49t. There are 101 outcomes (0h/100t, 1h/99t, 2h/98t etc.) and they're all equally likely of happening; about 0.0099%.

  5. penter profile image58
    penterposted 7 years ago

    This will depend on how you flip the coin and the coin itself. Certain part of the coin may be heavier than the rest which could affect the outcome. The way in which the coin was flipped could also be used to manipulated the result. Take the height of the coin flipped for example, changing the height  changes the number of times the coins flip-over before it reaches the floor or your hand. If you have ever pushed your buttered toast of the table, you will notice that it usually falls buttered-side down. One of the reasons for this phenomena is because of the height of the table which is too low for the bread to make a complete turn before reaching the ground.

    If you are skillful, you could get use to the coin you are flipping and thus be able to control the outcome most of the time.

  6. RDSPhD profile image60
    RDSPhDposted 7 years ago

    Theoretically it has to be 50-50 (I bet you've heard: "probability has no memory" before), the 51-49 that Klena mentioned are due to the slightly unbalanced weight of many coins where actually a side tends to be heavier (if you have e.g. George Washington's face in the middle of one side of the coin while the statue of liberty is on the right side of the coin there's not the exact same amount of gravitational force and of course friction acting on the coinage metals involved - they too aren't distributed evenly if you observe it from a molecular point of view) but nevertheless it turns out that most coins favor one side a tiny bit more thus when throwing it only 100 times you won't notice this small "misbehavior" but when thrown e.g. a billion times, suddenly the effect would become slightly visible).

    But all this is just based on calculations and brain-teasers of some bored physicists and actually no one has tested it so far but chances (oh here good old probability strikes again) are that at least a 51-49 pattern would emerge i.e. be observed wink

  7. Zazuzu profile image80
    Zazuzuposted 7 years ago

    rabid puma has got this correct.

    intuitively, the reason 50/50 is most likely is because there are more ways to get 50 heads and 50 tails.

    for example, there is only one way to get 100 heads. to get heads every time. However, there are 100 ways to get 99 heads and 1 tails (THHHHHH... ; HTHHHHHH... ; HHTHHHHH...; etc)

  8. academysigma profile image60
    academysigmaposted 6 years ago

    This follows a binomial distribution. The probability of getting exactly 50 heads from  100 tosses is (100C50) (0.5)^50 (0.5)^50 = 0.0795892.

    What this means is that if you repeated this trial 100 times you'd expect to get exactly 50 heads in 8 of those trials. Although this seems small, it is the most probable individual outcome.

  9. profile image0
    mynameisstefanposted 5 years ago