The Law Of Large Numbers

821 WordsOct 20, 20164 Pages
Introduction Flipping a coin is a simple action seen or done by most people. But if one flipped a coin one hundred times what results would they yield? An accurate prediction of that outcome is nearly guaranteed by The Law of Large Numbers. The Law of Large Numbers is “A law expressing the fact that if a trial in which all outcomes are independent of each other and equally likely is repeated, then the relative frequency of each outcome approximates its probability with increasing accuracy as the number of repetitions becomes sufficiently large” (Law of Large Numbers). This law has applications in a myriad of fields, such as engineering, biology, and finance (Sedor, 2013). The application of The Weak Law of Large Numbers is shown more specifically in the experiment conducted in this study. Weak Law of Large Numbers applies to any experiment conducted with fixed probability. This specific law speaks of the tendency of the relative frequency of the occurrence of some event to approach the event 's probability when the sample size grows (Falk & Lann, 2013). The goal of this experiment is to answer if The Law of Large Numbers exists in the action of flipping a coin. My hypothesis for the following experiment is results will regress toward the predicted or fixed probability as more trials are performed; in this case, the trial being the action of flipping a coin. Methods The method of the coin being flipped started with a fist being made with the thumb on top by the coin