Author:
Christine Farr

Assignment Objectives: Students will demonstrate the Law of Large Numbers and calculate classical probabilities.Purpose: This assignment demonstrates the calculation of classical probability and the application of the Law of Large Numbers.Assignment Description: The probability of getting a heads or tails when I toss a coin is .5. Does that mean that out of 500 tosses I will get exactly 250 tails and 250 heads? Due to random chance, that is not likely to be the case. In a small number of tosses, the empirical probability won’t likely be exactly 50%. However, due to the law of large numbers you learned about this week, as the number of tosses increases, the empirical probability should approach the theoretical probability of .5. To demonstrate this phenomena this week you will toss a coin 500 times and note whether it lands on heads or tails. Then we will calculate the cumulative percentage/probability for heads/tails for each trial. You could get help from friends and family but an easier way to do this experiment is by using excel to randomly generate flips of a coin. See the related lesson links for a video on how to do this experiment entirely in excel. http://screencast-o-matic.com/watch/cIf1V9VroaParameters: You will submit an Excel spreadsheet with 500 trials, the outcome of each trial, and the cumulative percentages for heads/tails for each trial Finally, interpret what you observe and how it relates to classical probability we studied this week.

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