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Birthday Paradox Simulation

Birthday Paradox Simulation
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2015-01-28 20:23
Coordinate GeometryProbability & StatisticsSlider Animation
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This example demonstrates the probability that in a group of N people, there is at least one pair with the same birthday. It illustrates how the probability of a shared birthday rises rapidly with increasing group size. The core math concepts involve combinatorics and probability theory. It is constructed using GeoGebra commands/objects like Sequence, Sort, Sum, DotPlot, and CountIf. Suitable for high school students and above to understand counterintuitive phenomena in probability.

GeoGebra Commands & Parameters

  1. Sequence(Random[1, 365], a, 1, n) → list4
  2. Sort(list4) → list2
  3. Sequence(If[Element[list2, a] ≟ Element[list2, a + 1], 1, 0], a, 1, 22) → list3
  4. Sum(list3) → a
  5. DotPlot(data, true, 0.5) → list1
  6. CountIf(x ≥ 0, data) → c
  7. CountIf(x > 0, data) → d