You find a coin in the street and are flipping it while walking away. You happen to look at the outcomes of your coin flips and notice heads is showing up more than you think it should. After 10 flips, the coin has landed on heads 8 of the 10 flips. Deciding you need more data, you flip the coin 25 more times and it lands heads up 18 times. You have now flipped the coin 35 times, 26 of which have landed heads. You are still surprised of these results, so you decide to flip the coin 100 more times and record the data. This time, the coin landed heads up 75 times. Now, you flip your coin 135 times, and it lands heads up 101 times. Are you convinced that the coin you have found is weighted, meaning that it favors one outcome over the other? Why? What is the name of the property of probability shown in the previous example? (continuous probability, discrete probability, law of averages, law of large numbers)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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You find a coin in the street and are flipping it while walking away. You happen to look at the outcomes of your coin flips and notice heads is showing up more than you think it should. After 10 flips, the coin has landed on heads 8 of the 10 flips. Deciding you need more data, you flip the coin 25 more times and it lands heads up 18 times. You have now flipped the coin 35 times, 26 of which have landed heads. You are still surprised of these results, so you decide to flip the coin 100 more times and record the data. This time, the coin landed heads up 75 times.

  1. Now, you flip your coin 135 times, and it lands heads up 101 times. Are you convinced that the coin you have found is weighted, meaning that it favors one outcome over the other? Why?
  2. What is the name of the property of probability shown in the previous example? (continuous probability, discrete probability, law of averages, law of large numbers)
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