Empirical Method. Law of Large Numbers

Dictionary definition. empirical
Based on, concerned with, or verifiable by observation or experience rather[br]than theory or pure logic. © 2019 [url=http://lexico.com/]Lexico.com[/url]
Empirical Method
We conduct the experiment repeatedly. Each repetition of the experiment is called a trial. As the number of trials increases the probability of A is better approximated by[br][img]data:image/png;base64,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[/img][br]The probability of event A is approximated by the relative frequency of the event A.[br]Recall relative frequency is the frequency divided by total.[br]If we use computers to simulate the experiment we need to ensure our model is accurate to the real world.[br][br]Also called [b]relative frequency approximation[/b].

Information: Empirical Method. Law of Large Numbers