Birthday Problem

In: Science

Submitted By fogelly
Words 2471
Pages 10
Birthday Problem

Subject: Mathematics
Name:Dmitry Kozyrev
Passport Number:N07797989
Date: 16.06.2015

Abstract _______________________________________________ 3
Keywords______________________________________________ 3
1. Basis of Probability ___________________________________ 4
1.1 Conditional Probability _____________________________ 4
1.2 Independence _____________________________________ 4
2. Birthday Problem______________________________________5
2.1 What is Birthday Problem? _________________________ 5
2.2 Understanding the probability_________________________ 6
2.3 Calculating the probability of birthday problem___________ 7
2.4 Abstract proof______________________________________10
3 Examples______________________________________________11
4 References_____________________________________________13


The subject of probability can be traced back to the 17th century when it arose out of the study of gambling games. As we see, the range of applications extends beyond games into business decisions, insurance, law, medical tests, and the social sciences. The stock market, “the largest casino in the world,” cannot do without it. The telephone network, call centers, and airline companies with their randomly fluctuating loads could not have been economically designed without probability theory. To quote Pierre-Simon, marquis de Laplace from several hundred years ago:
«It is remarkable that this science, which originated in the consideration of games of chance, should become the most important object of human knowledge...The most important questions of life are, for the most part, really only problems of probability.»

Keywords: experiment; outcomes; empty set; union; intersection; probability; birthday problem.


1. Basis of probability
1.1 Conditional Probability
Conditional Probability is…...

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