Demonstrating the Law of Big Numbers

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The LAW OF BIG OR LARGE NUMBERS is an important concept in statistics and probability because it shows that if an experiment is repeated a great number of times, the result gets closer to the expected result. In other words, the result of the expected number in probability is getting closer by increasing the number of times the experiment is done. For example, if a dice with 6 faces is thrown, how many times each face is going to appear? We know that the probability each face will appear is 1/6 as the dice involves six different events with an equal probability. We want to demonstrate, as the mathematician, Jakob Bernouille, did in the18th century that the precision of statistics increases with the number of tests.

Our students from our partnership threw the dice lots of times and we collected data to demonstrate that: the more times we throw the dice, the closer we get to the expected value. By now, we reach the conclusion that more trials have to be done because we haven’t still demonstrated our hypothersis.

You can see how we did it and the results we obtained.

https://docs.google.com/spreadsheets/d/1R0-7bwm2FqHHYBpfLqPZdRkRdW5QyEw22obtYbhU6Yg/edit?usp=sharing

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