Empirical Probabilities

The simulation introduces empirical vs. theoretic probabilities. It shows how probabilties can be obtained using the concepts of theoretic and empirical probabilies based on an experiment flipping three chips with each having a red and a yellow side.

The instructor in the classroom or students at home can run experiments to estimate the empirical probabilty (success/trials) and compare the results to the theoretic probability (successes/outcomes).
The experiment can be run for two differen type of successes: three chips red or three chips having the same color.
Each time a user clicks the “Flip Chips” button the three coins are flipped, trials are increased by one, and if the trial leads to a success, it is recorded. Students can see how the probability converges. After 30 trials a button “Flip Chips 1000 times” is visible that allows to run a high number of experiments. This way students can see how the empirical probability converges almost perfectly to the theoretical probability. How the latter can be derived, is explained in the “Theoretic Probability” tab.

Type of Simulation: Runs in browser
Link: http://ec-clange-web.cpp.edu/FindProbability

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