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Probability Venn Diagram by Micky Bullock

Probability Venn Diagram by Micky Bullock
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2012-03-19 01:56
Probability & StatisticsSlider Animation
In collections Probability Venn Diagrams
This is a probability Venn diagram that allows you to directly control the probabilities of events A and B. It demonstrates key concepts in probability and statistics, such as event probability and intersection probability. Using GeoGebra commands like If, Circle, Polygon, etc., you can dynamically change the probabilities and observe the changes in the Venn diagram. Suitable for high school math education and learning probability concepts.

GeoGebra Commands & Parameters

  1. If(Min[aPA, aPB] ≟ 0.26 ∧ (abs(Max[aPA, aPB] - 0.28) ≤ 0.01) ∧ aPAnB ≟ 0.25, 0.4, If[(Min[aPA, aPB] - aPAnB ≤ 0.02) ∧ (aPAnB > 0.26), (abs(r_A - r_B) + Max[r_A, r_B]) / 5, Max[r_A, r_B]]) → startvalue
  2. If(r_A + r_B + A6 ≥ 1.618^(0.5), 1.618^(0.5) - r_A - r_B, If[aPAnB ≟ Min[aPA, aPB], Max[r_A, r_B] - Min[r_A, r_B], If[aPAnB ≟ 0, r_A + r_B, A6]]) → separationx
  3. If(r_A + r_B + A6 ≥ 1.618^(0.5), If[aPAnB ≟ 0, ((r_A + r_B)^(2) - separationx^(2))^(0.5), (A6^(2) - (1.618^(0.5) - r_A - r_B)^(2))^(0.5)], 0) → separationy
  4. If(r_A + r_B + A6 ≥ 1.618^(0.5), (separationy - r_A + r_B) / 2, 0) → yA
  5. Circle(A, r_A) → PACircle
  6. Circle(B, r_B) → PBCircle
  7. Polygon(C, D, E, F) → poly1, c, d, e, f
  8. Circle(A, r_A) → PACircle2
  9. Circle(A, r_A) → PAGreenCircle
  10. Circle(B, r_B) → PBGreenCircle
  11. Intersect(PACircle, PBCircle) → G, H, ,
  12. CircleArc(A, H, G) → g
  13. If(aPA ≟ 0.2 ∧ aPB ≟ 0.2 ∨ aPA ≟ 0.19 ∧ aPB ≟ 0.19, 0, Cell[SScol, SSrow]) → aMinPAnB