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Chatty reference · stats1 week 7

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2026-08-16

27. Stats W7 — Probability

Concepts:
  • Random experiment
  • Sample space
  • Event
  • Probability
  • Probability properties
Core axioms:
0≤P(A)≤10\le P(A)\le1
P(S)=1P(S)=1
For disjoint events:
P(A∪B)=P(A)+P(B)P(A\cup B)=P(A)+P(B)
General addition:
=P(A)+P(B)−P(A∩B)= P(A)+P(B)-P(A\cap B)
Complement:
P(Ac)=1−P(A)P(A^c)=1-P(A)

Pattern families

  • direct probability
  • complement
  • union
  • intersection
  • mutually exclusive events
  • sample-space counting
  • probability from combinatorics

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