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Demonstrating Geometric Problems with Complementary Counting

Demonstrating Geometric Problems with Complementary Counting
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2017-04-06 05:37
Probability & StatisticsGeometric Construction
In collections Probability Review
This example uses GeoGebra to demonstrate how to solve geometric problems using complementary counting. It involves core math concepts like complementary counting and probability & statistics. The construction utilizes commands and objects such as Random, Element, Textfield, RandomElement, If. Suitable for high school mathematics teaching, focusing on counting principles and probability applications.

GeoGebra Commands & Parameters

  1. Random(1, 2) → ptype
  2. Random(4, 10) → b
  3. Random(4, 10) → a
  4. Element({b^(3) / (a + b)^(3), Binomial[b, c] / Binomial[a + b, c]}, ptype) → allblue
  5. Element({a^(3) / (a + b)^(3), Binomial[a, c] / Binomial[a + b, c]}, ptype) → allred
  6. Textfield(ans) → inputBox1
  7. RandomElement({"Not Quite", "Try Again"}) → eres
  8. If((ans - cans)^(2) < 0.001, true, false) → acor
  9. RandomElement({"Good Job", "Great!", "Way to Go!", "Awesome"}) → text5
  10. Element(sellist, ptype) → rtype