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Posted: October 8th, 2021
Compute the average number of heads from the ten trials
Question description
This Discussion allows you to demonstrate your understanding of the
similarities and differences between classical probability and empirical
probability. In your own words, describe two main differences between classical and empirical probabilities. Gather coins you find around your home or in your pocket or purse. You will need an even number of
coins (any denomination) between 16 and 30. You do not need more than
that. Put all of the coins in a small bag or container big enough to
allow the coins to be shaken around. Shake the bag well and empty the
coins onto a table. Tally up how many heads and tails are showing. Do ten repetitions of this experiment, and record your findings every time.
State how many coins you have and present your data in a table or chart. Consider just your first count of the tossed coins. What is
the observed probability of tossing a head? Of tossing a tail? Show the
formula you used and reduce the answer to lowest terms. Did any of your ten repetitions come out to have exactly the same number of heads and tails? How many times did this happen? How come the answers to the step above are not exactly ½ and ½? What kind of probability are you using in this “bag of coins” experiment? Compute the average number of heads from the ten trials (add up the number of heads and divide it by 10). Change this to the average probability of tossing heads by
putting the average number of heads in a fraction over the number of
coins you used in your tosses. Did anything surprising or unexpected happen in your results for this experiment? Write the sample space for the outcomes of tossing three coins using H for heads and T for tails.
What is the probability for each of the outcomes? Which kind of probability are we using here? How come we do not need to have three actual coins to compute the probabilities for these outcomes? Respond to at least two of your classmates’ postings. Make sure
you review their data and calculations and let them know if their
probabilities seem accurate.
Your initial post should be at least 150 words in length.
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