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)
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Let’s say that a year is always 365 days long. The chance that the second classmate has the same birthday is 1/365. To find the probability that both people have the same birthday, we must multiply their separate probabilities…
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.
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