# Why Do People Have The Same Birthday Paradox?

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The Birthday Paradox is the chance of 23 people in the same room to have the same birthday. It’s a 50 percent chance that there is. Surprisingly, the answer is only 23 people to have at least a 50 percent chance of a match. This goes up to 70 percent for 30 people, 90 percent for 41 people, 95 percent for 47 people. With 57 people there is better than a 99 percent chance of a birthday match. In my project i’m doing 50 people to have a better outcome. The concepts of this project is mathematical probability and Statistics. The purpose of the project is to find out if at least two people have the same birthday. My project proves that people were born on the same day. Probability is the mathematical science that deals with events that cannot …show more content…

Data are the facts and figures that are collected, analyzed, and summarized for presentation and interpretation. Statistics was developed in the early 19th century as the study of populations, economies, and moral actions and later in that century as the mathematical tool for analyzing such numbers. Examples of Statistics that are used today are Mean, Median ,Mode and Range, Histograms and Stem and leaf plots. Sample survey methods are used to collect data from observational studies, and experimental design methods are used to collect data from experimental studies. The area of descriptive statistics is concerned primarily with methods of presenting and interpreting data using graphs, tables, and numerical summaries. Whenever statisticians use data from a sample., a subset of the population—to make statements about a population, they are performing statistical inference. The population is how many people i'm doing for my project which is 50 people. Estimation and hypothesis testing are procedures used to make statistical conclusions. Probability plays a key role in statistical inference, it is used to provide measures of the quality and precision of the inferences. Some of these methods are used primarily for single-variable studies, while others, such as regression and correlation analysis, are used to make inferences about relationships among two or more variables. A paradox is a statement that, despite apparently sound reasoning from true premises, leads to a self-contradictory or a logically unacceptable conclusion. The purpose of a paradox is to arrest attention and provoke fresh thought. An entertaining example is to determine the probability that in a randomly selected group of n people at least two have the same birthday. If one assumes for simplicity that a year contains 365 days and that each day is equally likely to be the birthday of a randomly selected person, then