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Mat126 Week 4 Disc 2

This Discussion allows you to demonstrate your understanding of the similaritiesand differences between classical probability and empirical probability.

  1. In your own words, describe two main differencesbetween classical and empirical probabilities.
  2. Gather coins you find around your home or in your pocket or purse. You willneed an even number of coins (any denomination)between 16 and 30. You do not need more than that. Put all of the coins in asmall bag or container big enough to allow the coins to be shaken around. Shakethe bag well and empty the coins onto a table. Tally up how many heads and tailsare 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 observedprobability of tossing a head? Of tossing a tail? Show the formula you used andreduce the answer to lowest terms.
    • Did any of your ten repetitions come out to have exactly the same number ofheads 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 numberof heads and divide it by 10).
    • Change this to the average probability of tossing heads by putting theaverage number of heads in a fraction over the number of coins you used in yourtosses.
    • Did anything surprising or unexpected happen in your results for thisexperiment?
  3. Write the sample space for the outcomes of tossing three coins using H forheads 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 theprobabilities for these outcomes? Your initial post should be at least 150 words in length

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