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Exploring Bayes' Theorem

Exploring Bayes' Theorem
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2011-10-23 08:59
FunctionCoordinate GeometryProbability & Statistics
In collections Statistics and Probability with Mr Downes probability
This GeoGebra worksheet demonstrates a classic application of Bayes' theorem: if a person tests positive, what is the probability that they are actually sick? The example involves core concepts of conditional probability and probability statistics. By constructing objects such as circles, polygons, and segments, users can visually understand the application of Bayes' theorem. Suitable for high school students and researchers.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  4. Polygon(G, B, F, I) → poly2, g, b_1, f, i
  5. Polygon(E, J, H, D) → poly3, e, j, h, d_1
  6. Segment(E, F) → k
  7. Polygon(J, F, C, H) → poly4, j_1, f_1, c_1, h_1
  8. Polygon(A, G, I, E) → poly5, a_1, g_1, i_1, e_1
  9. Textfield(incidence) → inputBox1
  10. Textfield(falseneg) → inputBox3
  11. Textfield(falsepos) → inputBox2
  12. Circle(K, 0.2) → q
  13. CircleSector(K, L, M) → r
  14. CircleSector(K, M, L) → s