This particular project is going to be about birthdays. This research paper will unravel the meanings of important words and reveal the answers to frequently asked questions considering this Birthday Paradox.
This Birthday Paradox states: if 23 individuals are amongst each other in an area, then there is a probability of 50% that two of the individuals will have the same birthday. A birthday is the anniversary when somebody was born (creative edge dictionary). “Birthdays are important they tell people when they were born and when they came into the world. People turn one year older every year, so we celebrate it when you turn older” ("Science Project Note Cards", 2011).
Based on a definition from the dictionary, a paradox is a self-contradicted (absurd) statement, but, in reality, embeds truth. Many types of paradoxes exist. Most paradoxes are based on contradiction, but others, such as the birthday paradox are given the term “paradox”, because they defy common sense. Paradoxes can be seen as ridiculous, but end up turning out to reveal the truth behind an idea.
This experiment proves how mathematics and probability differ from our own view of things. According to Science Buddies, “The objective of this project is to prove whether or not the birthday paradox holds true by looking at random groups of 23 or more people”("The Birthday Paradox", 2013). Even though there are 365 days a year, if you pick a small amount of people, there is at least a 50% probability that two of those people will have the same date of birth. If the number of individuals in a confined space gets larger then the chance of having the same birthday would be larger -birthday paradox. According to Erika Batista and her set of peers, “… most people wrongly expe...
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...find out how many other lucky people were born that same day.
Works Cited
Quizlet. (2011, February). Science Project Note Cards. Retrieved from http://quizlet.com/4411578/study (“Science Project Note”, 2011)
Science Buddies. (2013, January 10). The Birthday Paradox. Retrieved from http://www.sciencebuddies.org/science-fair-projects/project_ideas/math_p007.shtml (“The Birthday Paradox,” 2013)
National Council of Teachers of Mathematics. (2007). Illuminations: Birthday
Paradox. Retrieved from http://illuminations.nctm.org/LessonDetail.aspx?id=L299
(“Illuminations,” 2007)
Bellows, A. (2014). The Birthday Paradox. Retrieved from http://www.damninteresting.com/the-birthday-paradox/ (Bellows, 2014)
Aldag, S. (2007, July 1). A Monte Carlo Simulation of the Birthday Paradox.
Retrieved from http://digitalcommons.unl.edu/cgi/viewcontent?article=1027&context= (Stacy, 2007)
According to the notes from class, true paradox is defined as two ideas or principles that seem irreconcilable with each other, but prove on closer scrutiny, simultaneously valid. The theory of paradox is recommended to address and remove the ineffectiveness of opposing viewpoints. The benefit of the theory of paradox is that it seeks to recognize and value all perspectives. It also encourages using the effective aspects of all perspectives.
year. The girl celebrating has to do many things during the year to prepare for
A logical contradiction is an assertion or a claim that contains both a proposition and its denial given in the form p and not-p. In this case, both of these statements cannot both be true due to the law of noncontradiction. Similar to the principle of bivalence, this law states the declarative statement must be either true or false and cannot be both true at the same time in the same sense. A classic example of a logical contradiction is to assert that “it is raining and it is not raining.” The proposition p is “it is raining” and its denial not-p is “it is not raining.” Because “it is raining” and “it is not raining” cannot be both true at the same time, this statement leads to a logical contradiction when we assume the principle of bivalence or the law of noncontradiction. Some other examples would include statements such as “I know that nothing can be known” and “All general claims have exceptions.” Unlike a logical contradiction, a performative contradiction arises “when the content of an assertion contradicts the act of asserting it or the presuppositions of asserting
Contradictions are ideas or statements that oppose one another, such as paradox and irony. Paradox means that a statement contradicts itself, which may or may not be true; while irony is when you say one idea but mean another. For instance, The Declaration of Independence is one example which Americans show their contradictions. Thomas Jefferson wrote, “All men are created equal” at the same time Americans had slaves in their possession which evoked all African-Americans to obtain any natural rights as indicated in The Declaration of Independence (194). In addition, the paradox involved with this statement is a reason, which makes this country a travesty. All of these writers relate to The Declaration of Independence when dealing with contradictions
This year was a year like any other, with its springtime, its BETROTHALS, its weddings, and birth. (Engagements)
Regarding the practice of celebrating birthdays, our society celebrates them better than the society in The Giver does. This is because our society allows members to celebrate every individual birthday. Every member
In 1950, a man, Enrico Fermi, during a lunch break conversation he causally asked his co-workers an interesting question, “where is everybody”. (Howell, 2014) By which he meant, since there are over a million planets which are proficient enough to support life and possibly some sort of intelligent species, so how come no one has visited earth? This became known as The Fermi Paradox, which came from his surname and two Greek words, para meaning contrary and Doxa meaning opinion, about a 100 years ago. (Webb 2002) A paradox arises when you set undisputable evidence and then a certain conclusion contradicts the idea. For example, Fermi realized that extra-terrestrials have had a large amount of time to appear
At the age of 9, a little girl is counting down the days until her next birthday because double digits are a big deal. Now she is 12 and is still counting the days until she can call herself a teenager. For years people cannot wait to be another year older… until they actually become older. As people grow up they accept that maturing means taking on responsibilities and adulthood. Having sleepovers and play-dates, taking naps, and climbing the monkey bars becomes taboo. The simplistic life of a child quickly changes into the dull reality of school and work. People will spend years wishing they were older; but when the time comes, they hope to go back to their innocence. In The Catcher in the Rye, J.D. Salinger writes a stream of consciousness
The paradox arises due to a number of assumptions concerning knowledge, inquiry and definition made by both Socrates and Meno. The assumptions of Socrates are:
One of the most notorious observations was that not all people age the same way, and that chronological ...
Throughout the day we are constantly checking the time, preparing for the upcoming months, and keeping track of the year. Clocks tell us the time we use as a measurement. It’s how we keep track of those important months and events, such as holidays and birthdays. Although there are many investigations and research being done on the nature of time, many unresolved issues remain.
Bad math in court is something that happens over and over again and because of it, many innocent victims have been jailed and punished unjustly over the years. The problem is not some sort of miscalculation, but the refusal of the court to recalculate. More than often enough, the judge refuses to reexamine the collected DNA in an investigation case. What the people of the court fail to realize at times is that probability is not a one off thing, it is something that should be repeated at least more than once and can even be repeated over and over again. The flipping of a coin is frequently used to explain this logic and will be explained in following paragraphs. Sometimes statistician will state that there is only a one in a million chance (or some other ludicrously large number) that the defendant is innocent; but then they fail to examine: what is that 1, what are the chances that the accused that that one in a million? In this paper, I will be discussing the issue of ‘bad math in court,’ why it happens and how something as simple as probability can get innocent people out of jail.
Birthdays are sort of like the ceremonies that we have. In this memory there was cake, decorations. And then there was a bunch of people, these people are related and called family. The family is brothers, sisters, moms, dads, uncles, aunts and a whole bunch of other people. The people celebrate getting older with a song, cake and presents.
I chose this topic because when I first read the birthday problem in the textbook, I tried to solve it repeatedly but each time I would get a very low probability. After re reading the question for the 20th time I finally realized my error. I was considering the probability that people would have the same birthday as me when the question was focusing on the probability that anyone in the room has the same birthday. When I finally managed to solve the question I didn’t know what else this could be used for so I did more research. That is when I discovered that the birthday paradox can also be used to crack hashing algorithms and can be used in cryptography.
Thesis: People have their whole life to be old, but only a few years to be young