A coin is tossed on 5 occasions .What is the probability that a head will appear on all 5 occasions
The same as the probability that a tail will appear on all five or one head and four tails.
With the toss of a coin, providing the coin toss is guaranteed to produce a truly random result (there are ways to flip a coin, catch it and know what the result will be) then the likelihood that all five flips will return the same results is equally as probably as producing any other combination.
This is because each flip of the coin is independent of the previous flip and cannot therefore influence the following flips.
Nick B has it right.
I think the numbers would be (1/2)^5 --> .03125 or 3.125%.
Or 1/32 (same thing).
Check my math.
For each toss, 2 possible outcomes.
So total possible outcomes for 5 tosses is 2x2x2x2x2=32
All heads is only possible in one way, heads appears in each toss. So the probablity is total number of outcomes for the even over the total number of all outcomes.
So the probablity is 1/32.
Assuming the coin is fair, of course.
The reason that the probability of obtaining 5 heads is the same as the probability of obtaining any other possible combination of heads and tails for the 5 flips is because the probability of heads equals the probability of tails, which is .5
If the two possible outcomes had different probabilities (which is the case in most situations other than coin tosses) then this would not be true, even if each action is independent of the others.
by James Phelps 10 years ago
What are the implications or "any possible outcomes" of the Pope acknowledging life from another...planet?
by connywasky 10 years ago
A coin is to be tossed until a head appears twice in a row.What is the sample space for this...A coin is to be tossed until a head appears twice in a row.What is the sample space for this experiment? If the coin is fair, what is the probability that it will be tossed exactly four times
by Binoy 7 years ago
Can you solve this problem? A man and his wife appear in an interview...A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and the probability of wife's selection is 1/5. What is the probability that only one of...
by Sebastian Tyrrell 8 years ago
Probability: Which of the following three outcomes has the greatest chance of occuring?Which of the following three outcomes has the greatest chance of occuring? (Assuming normal six-sided fair dice)- throwing a die 6 times and getting at least one 6? (i.e. one or more sixes)- throwing a die 12...
Copyright © 2021 HubPages Inc. and respective owners. Other product and company names shown may be trademarks of their respective owners. HubPages® is a registered Service Mark of HubPages, Inc. HubPages and Hubbers (authors) may earn revenue on this page based on affiliate relationships and advertisements with partners including Amazon, Google, and others.
HubPages Inc, a part of Maven Inc.
As a user in the EEA, your approval is needed on a few things. To provide a better website experience, hubpages.com 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: https://maven.io/company/pages/privacy
Show DetailsNecessary | |
---|---|
HubPages Device ID | This is used to identify particular browsers or devices when the access the service, and is used for security reasons. |
Login | This is necessary to sign in to the HubPages Service. |
Google Recaptcha | This is used to prevent bots and spam. (Privacy Policy) |
Akismet | This is used to detect comment spam. (Privacy Policy) |
HubPages Google Analytics | This is used to provide data on traffic to our website, all personally identifyable data is anonymized. (Privacy Policy) |
HubPages Traffic Pixel | This 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 Services | This is a cloud services platform that we used to host our service. (Privacy Policy) |
Cloudflare | This 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 Libraries | Javascript software libraries such as jQuery are loaded at endpoints on the googleapis.com or gstatic.com domains, for performance and efficiency reasons. (Privacy Policy) |
Features | |
---|---|
Google Custom Search | This is feature allows you to search the site. (Privacy Policy) |
Google Maps | Some articles have Google Maps embedded in them. (Privacy Policy) |
Google Charts | This is used to display charts and graphs on articles and the author center. (Privacy Policy) |
Google AdSense Host API | This 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 YouTube | Some articles have YouTube videos embedded in them. (Privacy Policy) |
Vimeo | Some articles have Vimeo videos embedded in them. (Privacy Policy) |
Paypal | This 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 Login | You 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) |
Maven | This supports the Maven widget and search functionality. (Privacy Policy) |
Marketing | |
---|---|
Google AdSense | This is an ad network. (Privacy Policy) |
Google DoubleClick | Google provides ad serving technology and runs an ad network. (Privacy Policy) |
Index Exchange | This is an ad network. (Privacy Policy) |
Sovrn | This is an ad network. (Privacy Policy) |
Facebook Ads | This is an ad network. (Privacy Policy) |
Amazon Unified Ad Marketplace | This is an ad network. (Privacy Policy) |
AppNexus | This is an ad network. (Privacy Policy) |
Openx | This is an ad network. (Privacy Policy) |
Rubicon Project | This is an ad network. (Privacy Policy) |
TripleLift | This is an ad network. (Privacy Policy) |
Say Media | We partner with Say Media to deliver ad campaigns on our sites. (Privacy Policy) |
Remarketing Pixels | We 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 Pixels | We 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. |
Statistics | |
---|---|
Author Google Analytics | This is used to provide traffic data and reports to the authors of articles on the HubPages Service. (Privacy Policy) |
Comscore | ComScore 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 Pixel | Some articles display amazon products as part of the Amazon Affiliate program, this pixel provides traffic statistics for those products (Privacy Policy) |
Clicksco | This is a data management platform studying reader behavior (Privacy Policy) |